Jian-Guo Liu
Professor of Physics
Current Appointments & Affiliations
- Professor of Physics, Physics, Trinity College of Arts & Sciences 2009
- Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2009
- Professor of Mathematics and Physics at Duke Kunshan University, DKU Faculty, Duke Kunshan University 2018
Contact Information
- 285 Physics Bldg, Durham, NC 27708
- Box 90320, Durham, NC 27708-0320
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jian-guo.liu@duke.edu
(919) 660-2546
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http://www.math.duke.edu/~jliu/
- Background
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Education, Training, & Certifications
- Ph.D., University of California, Los Angeles 1990
- M.S., Fudan University (China) 1985
- B.S., Fudan University (China) 1982
- Recognition
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In the News
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APR 19, 2021 Duke Research Blog -
NOV 21, 2016
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- Expertise
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Global Scholarship
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Teaching
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- Research
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Selected Grants
- RTG: Training Tomorrow's Workforce in Analysis and Applications awarded by National Science Foundation 2021 - 2026
- Collaborative Research: Dynamics, singularities, and variational structure in models of fluids and clustering awarded by National Science Foundation 2021 - 2024
- Collaborative Research: Nonlocal models of aggregation and dispersion awarded by National Science Foundation 2018 - 2022
- Collaborative Research: Kinetic Models of Aggregation and Dispersion awarded by National Science Foundation 2015 - 2019
- Efficient Numerical Methods for Viscous Incompressible Flows awarded by National Science Foundation 2009 - 2012
- Publications & Artistic Works
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Selected Publications
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Academic Articles
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Gao, Yuan, Tiejun Li, Xiaoguang Li, and Jian-Guo Liu. “Transition Path Theory for Langevin Dynamics on Manifolds: Optimal Control and Data-Driven Solver.” Multiscale Modeling &Amp; Simulation 21, no. 1 (March 31, 2023): 1–33. https://doi.org/10.1137/21m1437883.Full Text
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Dou, Xu’an, Jian-Guo Liu, and Zhennan Zhou. “A tumor growth model with autophagy: The reaction-(cross-)diffusion system and its free boundary limit.” Discrete and Continuous Dynamical Systems B 28, no. 3 (2023): 1964–92. https://doi.org/10.3934/dcdsb.2022154.Full Text
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Gao, Y., J. G. Liu, and N. Wu. “Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions.” Applied and Computational Harmonic Analysis 62 (January 1, 2023): 261–309. https://doi.org/10.1016/j.acha.2022.09.003.Full Text
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Wang, Yuqi, Xiang Li, Meghana Konanur, Brandon Konkel, Elisabeth Seyferth, Nathan Brajer, Jian-Guo Liu, Mustafa R. Bashir, and Kyle J. Lafata. “Towards optimal deep fusion of imaging and clinical data via a model-based description of fusion quality.” Med Phys, December 22, 2022. https://doi.org/10.1002/mp.16181.Full Text Link to Item
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Craig, K., J. G. Liu, J. Lu, J. L. Marzuola, and L. Wang. “A proximal-gradient algorithm for crystal surface evolution.” Numerische Mathematik 152, no. 3 (November 1, 2022): 631–62. https://doi.org/10.1007/s00211-022-01320-0.Full Text
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Gao, Y., and J. G. Liu. “Revisit of Macroscopic Dynamics for Some Non-equilibrium Chemical Reactions from a Hamiltonian Viewpoint.” Journal of Statistical Physics 189, no. 2 (November 1, 2022). https://doi.org/10.1007/s10955-022-02985-5.Full Text
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Li, L., J. G. Liu, and Y. Tang. “Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations.” Communications in Computational Physics 32, no. 1 (July 1, 2022): 41–82. https://doi.org/10.4208/cicp.OA-2021-0159.Full Text
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Degond, P., A. Frouvelle, and J. G. Liu. “FROM KINETIC TO FLUID MODELS OF LIQUID CRYSTALS BY THE MOMENT METHOD.” Kinetic and Related Models 15, no. 3 (June 1, 2022): 417–65. https://doi.org/10.3934/krm.2021047.Full Text
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Gao, Y., and J. G. Liu. “PROJECTION METHOD FOR DROPLET DYNAMICS ON GROOVE-TEXTURED SURFACE WITH MERGING AND SPLITTING.” Siam Journal on Scientific Computing 44, no. 2 (January 1, 2022): B310–38. https://doi.org/10.1137/20M1338563.Full Text
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Li, L., J. G. Liu, Z. Liu, Y. Yang, and Z. Zhou. “On Energy Stable Runge-Kutta Methods for the Water Wave Equation and its Simplified Non-Local Hyperbolic Model.” Communications in Computational Physics 32, no. 1 (January 1, 2022): 222–58. https://doi.org/10.4208/cicp.OA-2021-0049.Full Text
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Liu, J. G., Z. Wang, Y. Zhang, and Z. Zhou. “RIGOROUS JUSTIFICATION OF THE FOKKER-PLANCK EQUATIONS OF NEURAL NETWORKS BASED ON AN ITERATION PERSPECTIVE.” Siam Journal on Mathematical Analysis 54, no. 1 (January 1, 2022): 1270–1312. https://doi.org/10.1137/20M1338368.Full Text
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Liu, J. G., and Z. Zhang. “EXISTENCE of GLOBAL WEAK SOLUTIONS of p-NAVIER-STOKES EQUATIONS.” Discrete and Continuous Dynamical Systems Series B 27, no. 1 (January 1, 2022): 469–86. https://doi.org/10.3934/dcdsb.2021051.Full Text
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Gao, Yuan, Anya E. Katsevich, Jian-Guo Liu, Jianfeng Lu, and Jeremy L. Marzuola. “Analysis of a fourth-order exponential PDE arising from a crystal surface jump process with Metropolis-type transition rates.” Pure and Applied Analysis 3, no. 4 (December 31, 2021): 595–612. https://doi.org/10.2140/paa.2021.3.595.Full Text
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Gao, Y., and J. G. Liu. “Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: Derivations and computations.” Physica D: Nonlinear Phenomena 428 (December 15, 2021). https://doi.org/10.1016/j.physd.2021.133067.Full Text
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Liu, Jian-Guo, Ziheng Wang, Yantong Xie, Yuan Zhang, and Zhennan Zhou. “Investigating the integrate and fire model as the limit of a random discharge model: a stochastic analysis perspective.” Mathematical Neuroscience and Applications Volume 1 (November 30, 2021). https://doi.org/10.46298/mna.7203.Full Text
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Gao, Y., J. G. Liu, and Z. Liu. “Existence and rigidity of the vectorial peierls-nabarro model for dislocations in high dimensions.” Nonlinearity 34, no. 11 (November 1, 2021): 7778–7828. https://doi.org/10.1088/1361-6544/ac24e3.Full Text
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Lafata, Kyle J., Yushi Chang, Chunhao Wang, Yvonne M. Mowery, Irina Vergalasova, Donna Niedzwiecki, David S. Yoo, Jian-Guo Liu, David M. Brizel, and Fang-Fang Yin. “Intrinsic radiomic expression patterns after 20 Gy demonstrate early metabolic response of oropharyngeal cancers.” Med Phys 48, no. 7 (July 2021): 3767–77. https://doi.org/10.1002/mp.14926.Full Text Link to Item
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Hu, J., J. G. Liu, Y. Xie, and Z. Zhou. “A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration.” Journal of Computational Physics 433 (May 15, 2021). https://doi.org/10.1016/j.jcp.2021.110195.Full Text
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Gao, Y., and J. G. Liu. “Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface.” Interfaces and Free Boundaries 23, no. 1 (January 1, 2021): 103–58. https://doi.org/10.4171/ifb/451.Full Text
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Gao, Yuan, Guangzhen Jin, and Jian-Guo Liu. “Inbetweening auto-animation via Fokker-Planck dynamics and thresholding.” Inverse Problems &Amp; Imaging 15, no. 5 (2021): 843–843. https://doi.org/10.3934/ipi.2021016.Full Text
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Li, Q., J. G. Liu, and R. Shu. “Sensitivity analysis of burgers' equation with shocks.” Siam Asa Journal on Uncertainty Quantification 8, no. 4 (January 1, 2021): 1493–1521. https://doi.org/10.1137/18M1211763.Full Text
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Liu, J. G., J. Wang, Y. Zhao, and Z. Zhou. “Field model for complex ionic fluids: Analytical properties and numerical investigation.” Communications in Computational Physics 30, no. 3 (January 1, 2021): 874–902. https://doi.org/10.4208/CICP.OA-2019-0223.Full Text
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Liu, J. G., M. Tang, L. Wang, and Z. Zhou. “Toward understanding the boundary propagation speeds in tumor growth models.” Siam Journal on Applied Mathematics 81, no. 3 (January 1, 2021): 1052–76. https://doi.org/10.1137/19M1296665.Full Text
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Liu, J. G., and X. Xu. “Existence and incompressible limit of a tissue growth model with autophagy.” Siam Journal on Mathematical Analysis 53, no. 5 (January 1, 2021): 5215–42. https://doi.org/10.1137/21M1405253.Full Text
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Huang, H., J. G. Liu, and P. Pickl. “On the Mean-Field Limit for the Vlasov–Poisson–Fokker–Planck System.” Journal of Statistical Physics 181, no. 5 (December 1, 2020): 1915–65. https://doi.org/10.1007/s10955-020-02648-3.Full Text Open Access Copy
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Gao, Y., J. G. Liu, J. Lu, and J. L. Marzuola. “Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects.” Nonlinearity 33, no. 8 (August 1, 2020): 3816–45. https://doi.org/10.1088/1361-6544/ab853d.Full Text
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Gao, Y., and J. G. Liu. “Large Time Behavior, Bi-Hamiltonian Structure, and Kinetic Formulation for a Complex Burgers Equation.” Quarterly of Applied Mathematics 79, no. 1 (May 21, 2020): 120–23. https://doi.org/10.1090/QAM/1573.Full Text
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Jin, S., L. Li, and J. G. Liu. “Convergence of the random batch method for interacting particles with disparate species and weights.” Siam Journal on Numerical Analysis 59, no. 2 (March 16, 2020): 746–68. https://doi.org/10.1137/20M1327641.Full Text
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Degond, P., M. Engel, J. G. Liu, and R. L. Pego. “A markov jump process modelling animal group size statistics.” Communications in Mathematical Sciences 18, no. 1 (January 1, 2020): 55–89. https://doi.org/10.4310/CMS.2020.v18.n1.a3.Full Text
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Feng, Y., T. Gao, L. Li, J. G. Liu, and Y. Lu. “Uniform-in-time weak error analysis for stochastic gradient descent algorithms via diffusion approximation.” Communications in Mathematical Sciences 18, no. 1 (January 1, 2020): 163–88. https://doi.org/10.4310/CMS.2020.v18.n1.a7.Full Text
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Gao, Y., J. G. Liu, T. Luo, and Y. Xiang. “Revisit of the peierls-nabarro model for edge dislocations in Hilbert space.” Discrete and Continuous Dynamical Systems Series B 22, no. 11 (January 1, 2020). https://doi.org/10.3934/dcdsb.2020224.Full Text
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Gao, Yuan, and Jian-Guo Liu. “Long time behavior of dynamic solution to Peierls–Nabarro dislocation model.” Methods and Applications of Analysis 27, no. 2 (2020): 161–98. https://doi.org/10.4310/maa.2020.v27.n2.a4.Full Text
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Gao, Yuan, and Jian-Guo Liu. “A note on parametric Bayesian inference via gradient flows.” Annals of Mathematical Sciences and Applications 5, no. 2 (2020): 261–82. https://doi.org/10.4310/amsa.2020.v5.n2.a3.Full Text
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Gao, Yuan, and Jian-Guo Liu. “LONG TIME BEHAVIOR OF DYNAMIC SOLUTION TO PEIERLS-NABARRO DISLOCATION MODEL.” Methods and Applications of Analysis 27, no. 2 (2020): 161–97.Link to Item
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Jin, S., L. Li, and J. G. Liu. “Random Batch Methods (RBM) for interacting particle systems.” Journal of Computational Physics 400 (January 1, 2020). https://doi.org/10.1016/j.jcp.2019.108877.Full Text
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LIU, J. G., and J. WANG. “GLOBAL EXISTENCE FOR NERNST-PLANCK-NAVIER-STOKES SYSTEM IN RN.” Communications in Mathematical Sciences 18, no. 6 (January 1, 2020): 1743–54. https://doi.org/10.4310/CMS.2020.v18.n6.a9.Full Text
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LIU, J. I. A. N. G. U. O., and X. XU. “A CLASS OF FUNCTIONAL INEQUALITIES AND THEIR APPLICATIONS TO FOURTH-ORDER NONLINEAR PARABOLIC EQUATIONS.” Communications in Mathematical Sciences 18, no. 7 (January 1, 2020): 1911–48. https://doi.org/10.4310/CMS.2020.V18.N7.A5.Full Text
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Li, L., Y. Li, J. G. Liu, Z. Liu, and J. Lu. “A stochastic version of stein variational gradient descent for efficient sampling.” Communications in Applied Mathematics and Computational Science 15, no. 1 (January 1, 2020): 37–63. https://doi.org/10.2140/camcos.2020.15.37.Full Text Open Access Copy
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Li, L., and J. G. Liu. “Large time behaviors of upwind schemes and B-schemes for fokker-planck equations on R by jump processes.” Mathematics of Computation 89, no. 325 (January 1, 2020): 2283–2320. https://doi.org/10.1090/mcom/3516.Full Text
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Li, L., J. G. Liu, and P. Yu. “On the mean field limit for Brownian particles with Coulomb interaction in 3D.” Journal of Mathematical Physics 60, no. 11 (November 1, 2019). https://doi.org/10.1063/1.5114854.Full Text
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Liu, J. G., and R. L. Pego. “On Local Singularities in Ideal Potential Flows with Free Surface.” Chinese Annals of Mathematics. Series B 40, no. 6 (November 1, 2019): 925–48. https://doi.org/10.1007/s11401-019-0167-z.Full Text
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Liu, J. G., R. L. Pego, and Y. Pu. “Well-posedness and derivative blow-up for a dispersionless regularized shallow water system.” Nonlinearity 32, no. 11 (October 4, 2019): 4346–76. https://doi.org/10.1088/1361-6544/ab2cf1.Full Text
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Liu, J. G., R. L. Pego, and D. Slepčev. “Least action principles for incompressible flows and geodesics between shapes.” Calculus of Variations and Partial Differential Equations 58, no. 5 (October 1, 2019). https://doi.org/10.1007/s00526-019-1636-7.Full Text
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Lafata, Kyle J., Zhennan Zhou, Jian-Guo Liu, Julian Hong, Chris R. Kelsey, and Fang-Fang Yin. “An Exploratory Radiomics Approach to Quantifying Pulmonary Function in CT Images.” Sci Rep 9, no. 1 (August 8, 2019): 11509. https://doi.org/10.1038/s41598-019-48023-5.Full Text Open Access Copy Link to Item
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Liu, J. G., M. Tang, L. Wang, and Z. Zhou. “Analysis and computation of some tumor growth models with nutrient: From cell density models to free boundary dynamics.” Discrete and Continuous Dynamical Systems Series B 24, no. 7 (July 1, 2019): 3011–35. https://doi.org/10.3934/dcdsb.2018297.Full Text
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Zhan, Q., M. Zhuang, Z. Zhou, J. G. Liu, and Q. H. Liu. “Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation with an Adaptive DG Algorithm.” Ieee Transactions on Geoscience and Remote Sensing 57, no. 7 (July 1, 2019): 4591–99. https://doi.org/10.1109/TGRS.2019.2891691.Full Text
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Liu, J. G., B. Niethammer, and R. L. Pego. “Self-similar Spreading in a Merging-Splitting Model of Animal Group Size.” Journal of Statistical Physics 175, no. 6 (June 30, 2019): 1311–30. https://doi.org/10.1007/s10955-019-02280-w.Full Text
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Liu, J. G., J. Lu, D. Margetis, and J. L. Marzuola. “Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model.” Physica D: Nonlinear Phenomena 393 (June 1, 2019): 54–67. https://doi.org/10.1016/j.physd.2019.01.004.Full Text Open Access Copy
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Gao, Y., L. Li, and J. G. Liu. “Patched peakon weak solutions of the modified Camassa–Holm equation.” Physica D: Nonlinear Phenomena 390 (March 1, 2019): 15–35. https://doi.org/10.1016/j.physd.2018.10.005.Full Text
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Lafata, Kyle J., Julian C. Hong, Ruiqi Geng, Bradley G. Ackerson, Jian-Guo Liu, Zhennan Zhou, Jordan Torok, Chris R. Kelsey, and Fang-Fang Yin. “Association of pre-treatment radiomic features with lung cancer recurrence following stereotactic body radiation therapy.” Phys Med Biol 64, no. 2 (January 8, 2019): 025007. https://doi.org/10.1088/1361-6560/aaf5a5.Full Text Open Access Copy Link to Item
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De Hoop, M. V., J. G. Liu, P. A. Markowich, and N. S. Ussembayev. “Plane-wave analysis of a hyperbolic system of equations with relaxation in ℝd.” Communications in Mathematical Sciences 17, no. 1 (January 1, 2019): 61–79. https://doi.org/10.4310/cms.2019.v17.n1.a3.Full Text
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Gao, Y., J. G. Liu, and X. Y. Lu. “Gradient flow approach to an exponential thin film equation: Global existence and latent singularity.” Esaim Control, Optimisation and Calculus of Variations 25 (January 1, 2019). https://doi.org/10.1051/cocv/2018037.Full Text
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Hu, Wenqing, Chris Junchi Li, Lei Li, and Jian-Guo Liu. “On the diffusion approximation of nonconvex stochastic gradient descent.” Annals of Mathematical Sciences and Applications 4, no. 1 (2019): 3–32. https://doi.org/10.4310/amsa.2019.v4.n1.a1.Full Text
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Huang, H., J. G. Liu, and J. Lu. “Learning interacting particle systems: Diffusion parameter estimation for aggregation equations.” Mathematical Models and Methods in Applied Sciences 29, no. 1 (January 1, 2019): 1–29. https://doi.org/10.1142/S0218202519500015.Full Text Open Access Copy
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Lafata, K., Z. Zhou, J. G. Liu, and F. F. Yin. “Data clustering based on Langevin annealing with a self-consistent potential.” Quarterly of Applied Mathematics 77, no. 3 (January 1, 2019): 591–613. https://doi.org/10.1090/qam/1521.Full Text Open Access Copy
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Li, L., and J. G. Liu. “A discretization of Caputo derivatives with application to time fractional SDEs and gradient flows.” Siam Journal on Numerical Analysis 57, no. 5 (January 1, 2019): 2095–2120. https://doi.org/10.1137/19M123854X.Full Text
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Liu, A., J. G. Liu, and Y. Lu. “On the rate of convergence of empirical measure in ∞-Wasserstein distance for unbounded density function.” Quarterly of Applied Mathematics 77, no. 4 (January 1, 2019): 811–29. https://doi.org/10.1090/qam/1541.Full Text
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Liu, J. G., and R. M. Strain. “Global stability for solutions to the exponential PDE describing epitaxial growth.” Interfaces and Free Boundaries 21, no. 1 (January 1, 2019): 61–86. https://doi.org/10.4171/IFB/417.Full Text
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Liu, Jian-Guo, and Rong Yang. “PROPAGATION OF CHAOS FOR THE KELLER-SEGEL EQUATION WITH A LOGARITHMIC CUT-OFF.” Methods and Applications of Analysis 26, no. 4 (2019): 319–48.Link to Item
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Zhan, Qiwei, Mingwei Zhuang, Yuan Fang, Jian-Guo Liu, and Qing Huo Liu. “Green's function for anisotropic dispersive poroelastic media based on the Radon transform and eigenvector diagonalization.” Proceedings. Mathematical, Physical, and Engineering Sciences 475, no. 2221 (January 2019): 20180610. https://doi.org/10.1098/rspa.2018.0610.Full Text
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Gao, Y., H. Ji, J. G. Liu, and T. P. Witelski. “A vicinal surface model for epitaxial growth with logarithmic free energy.” Discrete and Continuous Dynamical Systems Series B 23, no. 10 (December 1, 2018): 4433–53. https://doi.org/10.3934/dcdsb.2018170.Full Text
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Feng, Y., L. Li, J. G. Liu, and X. Xu. “Continuous and discrete one dimensional autonomous fractional odes.” Discrete and Continuous Dynamical Systems Series B 23, no. 8 (October 1, 2018): 3109–35. https://doi.org/10.3934/dcdsb.2017210.Full Text
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Feng, Y., L. Li, J. G. Liu, and X. Xu. “A note on one-dimensional time fractional ODEs.” Applied Mathematics Letters 83 (September 1, 2018): 87–94. https://doi.org/10.1016/j.aml.2018.03.015.Full Text
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Li, L., J. G. Liu, and L. Wang. “Cauchy problems for Keller–Segel type time–space fractional diffusion equation.” Journal of Differential Equations 265, no. 3 (August 5, 2018): 1044–96. https://doi.org/10.1016/j.jde.2018.03.025.Full Text
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Gao, Y., and J. G. Liu. “The modified camassa-holm equation in lagrangian coordinates.” Discrete and Continuous Dynamical Systems Series B 23, no. 6 (August 1, 2018): 2545–92. https://doi.org/10.3934/dcdsb.2018067.Full Text
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Liu, J. G., M. Tang, L. Wang, and Z. Zhou. “An accurate front capturing scheme for tumor growth models with a free boundary limit.” Journal of Computational Physics 364 (July 1, 2018): 73–94. https://doi.org/10.1016/j.jcp.2018.03.013.Full Text
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Chen, K., Q. Li, and J. G. Liu. “Online learning in optical tomography: A stochastic approach.” Inverse Problems 34, no. 7 (May 29, 2018). https://doi.org/10.1088/1361-6420/aac220.Full Text
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Liu, J. G., and X. Xu. “Partial regularity of weak solutions to a PDE system with cubic nonlinearity.” Journal of Differential Equations 264, no. 8 (April 15, 2018): 5489–5526. https://doi.org/10.1016/j.jde.2018.01.001.Full Text
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Li, L., and J. G. Liu. “p-Euler equations and p-Navier–Stokes equations.” Journal of Differential Equations 264, no. 7 (April 5, 2018): 4707–48. https://doi.org/10.1016/j.jde.2017.12.023.Full Text
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Gao, Y., J. G. Liu, X. Y. Lu, and X. Xu. “Maximal monotone operator theory and its applications to thin film equation in epitaxial growth on vicinal surface.” Calculus of Variations and Partial Differential Equations 57, no. 2 (April 1, 2018). https://doi.org/10.1007/s00526-018-1326-x.Full Text
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Coquel, F., S. Jin, J. G. Liu, and L. Wang. “Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and glimm front sampling for scalar conservation laws.” Mathematics of Computation 87, no. 311 (January 1, 2018): 1083–1126. https://doi.org/10.1090/mcom/3253.Full Text
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Feng, Y., L. Li, and J. G. Liu. “Semigroups of stochastic gradient descent and online principal component analysis: Properties and diffusion approximations.” Communications in Mathematical Sciences 16, no. 3 (January 1, 2018): 777–89. https://doi.org/10.4310/cms.2018.v16.n3.a8.Full Text
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Gao, Y., L. Li, and J. G. Liu. “A dispersive regularization for the modified camassa–holm equation.” Siam Journal on Mathematical Analysis 50, no. 3 (January 1, 2018): 2807–38. https://doi.org/10.1137/17M1132756.Full Text
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Li, L., and J. G. Liu. “A note on deconvolution with completely monotone sequences and discrete fractional calculus.” Quarterly of Applied Mathematics 76, no. 1 (January 1, 2018): 189–98. https://doi.org/10.1090/qam/1479.Full Text
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Li, L., and J. G. Liu. “A generalized definition of caputo derivatives and its application to fractional odes.” Siam Journal on Mathematical Analysis 50, no. 3 (January 1, 2018): 2867–2900. https://doi.org/10.1137/17M1160318.Full Text
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Li, L., and J. G. Liu. “Some compactness criteria for weak solutions of time fractional pdes.” Siam Journal on Mathematical Analysis 50, no. 4 (January 1, 2018): 3963–95. https://doi.org/10.1137/17M1145549.Full Text
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Liu, J. G., L. Wang, and Z. Zhou. “Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations.” Mathematics of Computation 87, no. 311 (January 1, 2018): 1165–89. https://doi.org/10.1090/mcom/3250.Full Text
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Jin, Shi, Jian-Guo Liu, and Zheng Ma. “Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method.” Research in the Mathematical Sciences 4, no. 1 (December 2017). https://doi.org/10.1186/s40687-017-0105-1.Full Text
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Li, L., J. G. Liu, and J. Lu. “Fractional Stochastic Differential Equations Satisfying Fluctuation-Dissipation Theorem.” Journal of Statistical Physics 169, no. 2 (October 1, 2017): 316–39. https://doi.org/10.1007/s10955-017-1866-z.Full Text Open Access Copy
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Gao, Y., H. Ji, J. G. Liu, and T. P. Witelski. “Global existence of solutions to a tear film model with locally elevated evaporation rates.” Physica D: Nonlinear Phenomena 350 (July 1, 2017): 13–25. https://doi.org/10.1016/j.physd.2017.03.005.Full Text
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Liu, J. G., Z. Ma, and Z. Zhou. “Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives.” Journal of Scientific Computing 72, no. 1 (July 1, 2017): 291–313. https://doi.org/10.1007/s10915-017-0356-4.Full Text
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Gao, Y., J. G. Liu, and J. Lu. “Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces.” Journal of Nonlinear Science 27, no. 3 (June 1, 2017): 873–926. https://doi.org/10.1007/s00332-016-9354-1.Full Text Open Access Copy
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Liu, J. G., and J. Wang. “Global existence for a thin film equation with subcritical mass.” Discrete and Continuous Dynamical Systems Series B 22, no. 4 (June 1, 2017): 1461–92. https://doi.org/10.3934/dcdsb.2017070.Full Text
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Degond, P., J. G. Liu, and R. L. Pego. “Coagulation–Fragmentation Model for Animal Group-Size Statistics.” Journal of Nonlinear Science 27, no. 2 (April 1, 2017): 379–424. https://doi.org/10.1007/s00332-016-9336-3.Full Text
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Cong, W., and J. G. Liu. “Uniform L∞ boundedness for a degenerate parabolic-parabolic Keller-Segel model.” Discrete and Continuous Dynamical Systems Series B 22, no. 2 (March 1, 2017): 307–38. https://doi.org/10.3934/dcdsb.2017015.Full Text
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Degond, P., J. G. Liu, S. Merino-Aceituno, and T. Tardiveau. “Continuum dynamics of the intention field under weakly cohesive social interaction.” Mathematical Models and Methods in Applied Sciences 27, no. 1 (January 1, 2017): 159–82. https://doi.org/10.1142/S021820251740005X.Full Text
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Degond, P., M. Herty, and J. G. Liu. “Meanfield games and model predictive control.” Communications in Mathematical Sciences 15, no. 5 (January 1, 2017): 1403–22. https://doi.org/10.4310/CMS.2017.v15.n5.a9.Full Text
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Gao, Y., J. G. Liu, and J. Lu. “Weak solution of a continuum model for vicinal surface in the attachment-detachment-limited regime.” Siam Journal on Mathematical Analysis 49, no. 3 (January 1, 2017): 1705–31. https://doi.org/10.1137/16M1094543.Full Text Open Access Copy
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Gao, Y., and J. G. Liu. “Global convergence of a sticky particle method for the modified Camassa-Holm equation.” Siam Journal on Mathematical Analysis 49, no. 2 (January 1, 2017): 1267–94. https://doi.org/10.1137/16M1102069.Full Text
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Huang, H., and J. G. Liu. “Error estimate of a random particle blob method for the Keller-Segel equation.” Mathematics of Computation 86, no. 308 (January 1, 2017): 2719–44. https://doi.org/10.1090/mcom/3174.Full Text
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Huang, H., and J. G. Liu. “Discrete-in-time random particle blob method for the Keller-Segel equation and convergence analysis.” Communications in Mathematical Sciences 15, no. 7 (January 1, 2017): 1821–42. https://doi.org/10.4310/CMS.2017.v15.n7.a2.Full Text
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Liu, J. G., and J. Wang. “A generalized Sz. Nagy inequality in higher dimensions and the critical thin film equation.” Nonlinearity 30, no. 1 (January 1, 2017): 35–60. https://doi.org/10.1088/0951-7715/30/1/35.Full Text
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Liu, J. G., and R. Yang. “A random particle blob method for the keller-segel equation and convergence analysis.” Mathematics of Computation 86, no. 304 (January 1, 2017): 725–45. https://doi.org/10.1090/mcom/3118.Full Text
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Liu, J. G., and X. Xu. “Analytical validation of a continuum model for the evolution of a crystal surface in multiple space dimensions.” Siam Journal on Mathematical Analysis 49, no. 3 (January 1, 2017): 2220–45. https://doi.org/10.1137/16M1098474.Full Text
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Huang, H., and J. G. Liu. “Error estimates of the aggregation-diffusion splitting algorithms for the Keller-Segel equations.” Discrete and Continuous Dynamical Systems Series B 21, no. 10 (December 1, 2016): 3463–78. https://doi.org/10.3934/dcdsb.2016107.Full Text
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Liu, Jian-Guo, and Rong Yang. “Propagation of chaos for large Brownian particle system with Coulomb interaction.” Research in the Mathematical Sciences 3, no. 1 (December 2016). https://doi.org/10.1186/s40687-016-0086-5.Full Text
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Huang, H., and J. G. Liu. “A note on Monge-Ampère Keller-Segel equation.” Applied Mathematics Letters 61 (November 1, 2016): 26–34. https://doi.org/10.1016/j.aml.2016.05.003.Full Text
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Herschlag, G., J. G. Liu, and A. T. Layton. “Fluid extraction across pumping and permeable walls in the viscous limit.” Physics of Fluids 28, no. 4 (April 1, 2016). https://doi.org/10.1063/1.4946005.Full Text
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Liu, J. G., and J. Wang. “A Note on L∞-Bound and Uniqueness to a Degenerate Keller-Segel Model.” Acta Applicandae Mathematicae 142, no. 1 (April 1, 2016): 173–88. https://doi.org/10.1007/s10440-015-0022-5.Full Text
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Liu, Jian-Guo, and Jinhuan Wang. “Refined hyper-contractivity and uniqueness for the Keller–Segel equations.” Applied Mathematics Letters 52 (February 2016): 212–19. https://doi.org/10.1016/j.aml.2015.09.001.Full Text
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Chen, J., J. G. Liu, and Z. Zhou. “On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods.” Multiscale Modeling and Simulation 14, no. 4 (January 1, 2016): 1463–87. https://doi.org/10.1137/16M106947X.Full Text
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Cong, W., and J. G. Liu. “A degenerate p-laplacian keller-segel model.” Kinetic and Related Models 9, no. 4 (January 1, 2016): 687–714. https://doi.org/10.3934/krm.2016012.Full Text
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Duan, Yong, and Jian-Guo Liu. “Error estimate of the particle method for the $b$-equation.” Methods and Applications of Analysis 23, no. 2 (2016): 119–54. https://doi.org/10.4310/maa.2016.v23.n2.a1.Full Text
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Huang, H., and J. G. Liu. “Well-posedness for the keller-segel equation with fractional laplacian and the theory of propagation of chaos.” Kinetic and Related Models 9, no. 4 (January 1, 2016): 715–48. https://doi.org/10.3934/krm.2016013.Full Text
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Liu, J. G., and R. L. Pego. “On generating functions of hausdorff moment sequences.” Transactions of the American Mathematical Society 368, no. 12 (January 1, 2016): 8499–8518. https://doi.org/10.1090/tran/6618.Full Text
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Liu, J. G., and X. Xu. “Existence theorems for a multidimensional crystal surface model.” Siam Journal on Mathematical Analysis 48, no. 6 (January 1, 2016): 3667–87. https://doi.org/10.1137/16M1059400.Full Text
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Liu, Jian-Guo, and Yuan Zhang. “Convergence of stochastic interacting particle systems in probability under a Sobolev norm.” Annals of Mathematical Sciences and Applications 1, no. 2 (2016): 251–99. https://doi.org/10.4310/amsa.2016.v1.n2.a1.Full Text
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Degond, P., A. Frouvelle, and J. G. Liu. “Phase Transitions, Hysteresis, and Hyperbolicity for Self-Organized Alignment Dynamics.” Archive for Rational Mechanics and Analysis 216, no. 1 (April 1, 2015): 63–115. https://doi.org/10.1007/s00205-014-0800-7.Full Text
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Xue, Y., C. Wang, and J. G. Liu. “Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis.” Journal of Scientific Computing 65, no. 3 (March 14, 2015): 1189–1216. https://doi.org/10.1007/s10915-015-0005-8.Full Text
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Lu, J., J. G. Liu, and D. Margetis. “Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions.” Physical Review E Statistical, Nonlinear, and Soft Matter Physics 91, no. 3 (March 4, 2015). https://doi.org/10.1103/PhysRevE.91.032403.Full Text Open Access Copy
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Chertock, A., J. G. Liu, and T. Pendleton. “Elastic collisions among peakon solutions for the Camassa-Holm equation.” Applied Numerical Mathematics 93 (January 1, 2015): 30–46. https://doi.org/10.1016/j.apnum.2014.01.001.Full Text
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Herschlag, G., J. G. Liu, and A. T. Layton. “An exact solution for stokes flow in a channel with arbitrarily large wall permeability.” Siam Journal on Applied Mathematics 75, no. 5 (January 1, 2015): 2246–67. https://doi.org/10.1137/140995854.Full Text
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Degond, Pierre, Amic Frouvelle, Jian-Guo Liu, Sebastien Motsch, and Laurent Navoret. “Macroscopic models of collective motion and self-organization.” Séminaire Laurent Schwartz — Edp Et Applications, November 20, 2014, 1–27. https://doi.org/10.5802/slsedp.32.Full Text
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Degond, Pierre, Jian-Guo Liu, and Christian Ringhofer. “Evolution of wealth in a non-conservative economy driven by local Nash equilibria.” Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 372, no. 2028 (November 2014): 20130394. https://doi.org/10.1098/rsta.2013.0394.Full Text
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Coquel, F., S. Jin, J. G. Liu, and L. Wang. “Well-Posedness and Singular Limit of a Semilinear Hyperbolic Relaxation System with a Two-Scale Discontinuous Relaxation Rate.” Archive for Rational Mechanics and Analysis 214, no. 3 (October 17, 2014): 1051–84. https://doi.org/10.1007/s00205-014-0773-6.Full Text
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Johnston, H., C. Wang, and J. G. Liu. “A Local Pressure Boundary Condition Spectral Collocation Scheme for the Three-Dimensional Navier–Stokes Equations.” Journal of Scientific Computing 60, no. 3 (September 1, 2014): 612–26. https://doi.org/10.1007/s10915-013-9808-7.Full Text
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Goudon, T., S. Jin, J. G. Liu, and B. Yan. “Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density.” International Journal for Numerical Methods in Fluids 75, no. 2 (May 20, 2014): 81–102. https://doi.org/10.1002/fld.3885.Full Text
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Duan, Y., and J. G. Liu. “Convergence analysis of the vortex blob method for the b-equation.” Discrete and Continuous Dynamical Systems Series A 34, no. 5 (May 1, 2014): 1995–2011. https://doi.org/10.3934/dcds.2014.34.1995.Full Text
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Bian, S., J. G. Liu, and C. Zou. “Ultra-contractivity for keller-segel model with diffusion exponent m > 1-2/d.” Kinetic and Related Models 7, no. 1 (March 1, 2014): 9–28. https://doi.org/10.3934/krm.2014.7.9.Full Text
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Degond, P., J. G. Liu, and C. Ringhofer. “Evolution of the Distribution of Wealth in an Economic Environment Driven by Local Nash Equilibria.” Journal of Statistical Physics 154, no. 3 (February 1, 2014): 751–80. https://doi.org/10.1007/s10955-013-0888-4.Full Text
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Chae, D., P. Degond, and J. G. Liu. “Well-posedness for hall-magnetohydrodynamics.” Annales De L’Institut Henri Poincare (C) Analyse Non Lineaire 31, no. 3 (January 1, 2014): 555–65. https://doi.org/10.1016/j.anihpc.2013.04.006.Full Text
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Chen, X., A. Jüngel, and J. G. Liu. “A note on Aubin-Lions-Dubinskiǐ Lemmas.” Acta Applicandae Mathematicae 133, no. 1 (January 1, 2014): 33–43. https://doi.org/10.1007/s10440-013-9858-8.Full Text
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Chen, X., X. Li, and J. G. Liu. “Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles.” Communications in Mathematical Sciences 12, no. 8 (January 1, 2014): 1579–1601. https://doi.org/10.4310/CMS.2014.v12.n8.a10.Full Text
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Degond, P., J. G. Liu, and C. Ringhofer. “Large-scale dynamics of mean-field games driven by local nash equilibria.” Journal of Nonlinear Science 24, no. 1 (January 1, 2014): 93–115. https://doi.org/10.1007/s00332-013-9185-2.Full Text
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Degond, P., M. Herty, and J. G. Liu. “Flow on sweeping networks.” Multiscale Modeling and Simulation 12, no. 2 (January 1, 2014): 538–65. https://doi.org/10.1137/130927061.Full Text
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Goudon, T., S. Jin, J. -. G. Liu, and B. Yan. “Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows with variable fluid density.” International Journal for Numerical Methods in Fluids, 2014.
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Bian, S., and J. G. Liu. “Dynamic and Steady States for Multi-Dimensional Keller-Segel Model with Diffusion Exponent m > 0.” Communications in Mathematical Physics 323, no. 3 (November 1, 2013): 1017–70. https://doi.org/10.1007/s00220-013-1777-z.Full Text
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Chen, X., and J. G. Liu. “Analysis of polymeric flow models and related compactness theorems in weighted spaces.” Siam Journal on Mathematical Analysis 45, no. 3 (October 4, 2013): 1179–1215. https://doi.org/10.1137/120887850.Full Text
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Goudon, T., S. Jin, J. G. Liu, and B. Yan. “Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows.” Journal of Computational Physics 246 (August 1, 2013): 145–64. https://doi.org/10.1016/j.jcp.2013.03.038.Full Text
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Chen, X., and J. G. Liu. “Global weak entropy solution to Doi-Saintillan-Shelley model for active and passive rod-like and ellipsoidal particle suspensions.” Journal of Differential Equations 254, no. 7 (April 1, 2013): 2764–2802. https://doi.org/10.1016/j.jde.2013.01.005.Full Text
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Chae, D., P. Degond, and J. -. G. Liu. “Well-posedness for Hall-magnetohydrodynamics.” Annales De L’Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, 2013.
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Chen, X., A. Jüngel, and J. -. G. Liu. “A Note on Aubin-Lions-Dubinskiǐ Lemmas.” Acta Applicandae Mathematicae, 2013, 1–11.
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Degond, P., J. -. G. Liu, and C. Ringhofer. “Evolution of the Distribution of Wealth in an Economic Environment Driven by Local Nash Equilibria.” Journal of Statistical Physics, 2013, 1–30.
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Degond, P., J. -. G. Liu, and C. Ringhofer. “Large-Scale Dynamics of Mean-Field Games Driven by Local Nash Equilibria.” Journal of Nonlinear Science, 2013, 1–23.
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Degond, Pierre, Jian-Guo Liu, Sebastien Motsch, and Vladislav Panferov. “Hydrodynamic models of self-organized dynamics: Derivation and existence theory.” Methods and Applications of Analysis 20, no. 2 (2013): 89–114. https://doi.org/10.4310/maa.2013.v20.n2.a1.Full Text
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Huang, Y. L., J. G. Liu, and W. C. Wang. “A generalized mac scheme on curvilinear domains.” Siam Journal on Scientific Computing 35, no. 5 (January 1, 2013). https://doi.org/10.1137/120875508.Full Text
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Jin, S., J. G. Liu, and L. Wang. “A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations.” Math. Comp. 82 (2013): 749–79.Link to Item
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Carrillo, J., L. Chen, J. G. Liu, and J. Wang. “A note on the subcritical two dimensional Keller-Segel system.” Acta Applicanda Mathematicae 119 (2012): 43–55.
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Chae, D., and J. G. Liu. “Blow-up, zero alpha limit and the Liouville type theorem for the Euler-Poincare equations.” Comm. Math. Phy., 314 (2012): 671–87.
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Chen, L., J. G. Liu, and J. Wang. “Multi-dimensional degenerate Keller-Segel system with critical diffusion exponent 2n/(n+2).” Siam J. Math Anal 44 (2012): 1077–1102.
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Chen, X., and J. G. Liu. “Two Nonlinear Compactness Theorems in L^p(0,T;B).” Appl. Math. Lett. 25 (2012): 2252–57.
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Chertock, A., J. G. Liu, and T. Pendleton. “Convergence of a particle method and global weak solutions of a family of evolutionary PDEs.” Siam J. Numer. Anal. 50 (2012): 1–21.
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Degond, P., A. Frouvell, and J. G. Liu. “Macroscopic limits and phase transition in a system of self-propelled particles (Accepted).” J Nonlinear Sci., 2012.
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Degond, P., and J. G. Liu. “Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation.” Math. Models Methods Appl. Sci. 22 (2012): 1114001–18.
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Frouvelle, A., and J. G. Liu. “Dynamics in a kinetic model of oriented particles with phase transition.” Siam J. Math Anal 44 (2012): 791–826.
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Haack, J., S. Jin, and J. G. Liu. “An all-speed asymptotic-preserving method for the isentropic Euler and Navier-Stokes equations.” Commun. Comput. Phy. 12 (2012): 955–80.
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Zheng, W., H. Gao, J. G. Liu, Y. Zhang, Q. Ye, and C. Swank. “General solution to gradient-induced transverse and longitudinal relaxation of spins undergoing restricted diffusion.” Physical Review a Atomic, Molecular, and Optical Physics 84, no. 5 (November 14, 2011). https://doi.org/10.1103/PhysRevA.84.053411.Full Text
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Acheritogaray, M., P. Degond, A. Frouvelle, and J. G. Liu. “Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system.” Kinetic and Related Models 4 (2011): 901–18.
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Huang, Y. L., J. G. Liu, and W. C. Wang. “An FFT based fast Poisson solver on spherical shells.” Commun. Comput. Phy. 9 (2011): 649–67.
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Liu, J. G., and A. Lorz. “A coupled chemotaxis-fluid model: Global existence.” Ann. I. H. Poincare, An 28 (2011): 643–52.
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Liu, J. G., J. Liu, and R. L. Pego. “Stable and accurate pressure approximation for unsteady incompressible viscous flow.” Journal of Computational Physics 229, no. 9 (January 1, 2010): 3428–53. https://doi.org/10.1016/j.jcp.2010.01.010.Full Text
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Liu, J. G., and L. Mieussens. “Analysis of an asymptotic preserving scheme for linear kinetic equations in the diffusion limit.” Siam J. Numer. Anal. 48 (2010): 1474–91.Open Access Copy
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Liu, J. G., and R. L. Pego. “Stable discretization of magnetohydrodynamics in bounded domains.” Communications in Mathematical Sciences 8, no. 1 (January 1, 2010): 235–51. https://doi.org/10.4310/CMS.2010.v8.n1.a12.Full Text
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Liu, J. G., and R. Pego. “Stable discretization of magnetohydrodynamics in bounded domains.” Commun. Math. Sci. 8 (2010): 234–51.
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Liu, J. G., J. Liu, and R. L. Pego. “Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions.” Chinese Annals of Mathematics. Series B 30, no. 6 (December 1, 2009): 743–68. https://doi.org/10.1007/s11401-009-0116-3.Full Text
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Ha, S. Y., and J. G. Liu. “A simple proof of the Cucker-Smale flocking dynamics and mean-field limit.” Commun. Math. Sci. 7 (2009): 297–325.
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Liu, J. G., and W. C. Wang. “Characterization and regularity for axisymmetric solenoidal vector elds with application to Navier-Stokes equation.” Siam J. Math. Anal. 41 (2009): 1825–50.
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Degond, P., J. G. Liu, and M. H. Vignal. “Analysis of an asymptotic preserving scheme for the Euler-Poisson system in the quasineutral limit.” Siam Journal on Numerical Analysis 46, no. 3 (November 10, 2008): 1298–1322. https://doi.org/10.1137/070690584.Full Text
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Lu, X., P. Lin, and J. G. Liu. “Analysis of a sequential regularization method for the unsteady Navier-Stokes equations.” Mathematics of Computation 77, no. 263 (July 1, 2008): 1467–94. https://doi.org/10.1090/S0025-5718-08-02087-5.Full Text
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Hsia, C. H., J. G. Liu, and C. Wang. “Structural stability and bifurcation for 2D incompressible ows with symmetry.” Meth. Appl. Anal. 15 (2008): 495–512.
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Lin, P., J. G. Liu, and X. Lu. “Long time numerical solution of the Navier-Stokes equations based on a sequential regularization formulation.” Siam Journal on Scientific Computing 31, no. 1 (January 1, 2008): 398–419. https://doi.org/10.1137/060673722.Full Text
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Liu, J. G., and C. Wang. “A fourth order numerical method for the primtive equations formulated in mean vorticity.” Communications in Computational Physics 4, no. 1 (January 1, 2008): 26–55.
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Antman, S. S., and J. G. Liu. “Basic themes and pretty problems of nonlinear solid mechanics.” Milan Journal of Mathematics 75, no. 1 (December 1, 2007): 135–76. https://doi.org/10.1007/s00032-007-0068-6.Full Text
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Moore, Jeffrey, Zhihong Cheng, Junjie Hao, Gang Guo, Jian-Guo Liu, Chunjian Lin, and Liangli Lucy Yu. “Effects of solid-state yeast treatment on the antioxidant properties and protein and fiber compositions of common hard wheat bran.” Journal of Agricultural and Food Chemistry 55, no. 25 (December 2007): 10173–82. https://doi.org/10.1021/jf071590o.Full Text
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Liu, J. G., J. Liu, and R. L. Pego. “Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate.” Communications on Pure and Applied Mathematics 60, no. 10 (October 1, 2007): 1443–87. https://doi.org/10.1002/cpa.20178.Full Text
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Degond, P., S. Jin, and J. G. Liu. “Mach-number uniform asymptotic- preserving Gauge schemes for compressible flows.” Bulletin of the Institute of Mathematics Academia Sinica (New Series) 2 (2007): 851–92.
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Liu, J. G., J. Liu, and R. Pego. “Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate via a commutator estimate.” Comm. Pure Appl. Math. 60 (2007): 1443–87.
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Liu, J. G., and W. C. Wang. “Convergence analysis of the energy and helicity preserving scheme for axisymmetric flows.” Siam Journal on Numerical Analysis 44, no. 6 (December 1, 2006): 2456–80. https://doi.org/10.1137/050639314.Full Text
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Degond, P., J. G. Liu, and L. Mieussens. “Macroscopic fluid models with localized kinetic upscaling effects.” Multiscale Modeling and Simulation 5, no. 3 (September 1, 2006): 940–79. https://doi.org/10.1137/060651574.Full Text
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Moore, Jeffrey, Jian-Guo Liu, Kequan Zhou, and Liangli Lucy Yu. “Effects of genotype and environment on the antioxidant properties of hard winter wheat bran.” Journal of Agricultural and Food Chemistry 54, no. 15 (July 2006): 5313–22. https://doi.org/10.1021/jf060381l.Full Text
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Liu, J. G., R. Samelson, and C. Wang. “Global weak solution of planetary geostrophic equations with inviscid geostrophic balance.” Applicable Analysis 85 (2006): 593–605.
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Liu, J. G., and W. C. Wang. “Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry.” Journal of Computational Physics 200, no. 1 (October 10, 2004): 8–33. https://doi.org/10.1016/j.jcp.2004.03.005.Full Text
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Ghil, M., J. G. Liu, C. Wang, and S. Wang. “Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow.” Physica D: Nonlinear Phenomena 197, no. 1–2 (October 1, 2004): 149–73. https://doi.org/10.1016/j.physd.2004.06.012.Full Text
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Li, B., and J. G. Liu. “Epitaxial growth without slope selection: Energetics, coarsening, and dynamic scaling.” Journal of Nonlinear Science 14, no. 5 (October 1, 2004): 429–51. https://doi.org/10.1007/s00332-004-0634-9.Full Text
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Johnston, H., and J. G. Liu. “Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term.” Journal of Computational Physics 199, no. 1 (September 1, 2004): 221–59. https://doi.org/10.1016/j.jcp.2004.02.009.Full Text
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Wang, C., J. G. Liu, and H. Johnston. “Analysis of a fourth order finite difference method for the incompressible Boussinesq equations.” Numerische Mathematik 97, no. 3 (May 1, 2004): 555–94. https://doi.org/10.1007/s00211-003-0508-3.Full Text
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Li, B., and J. G. Liu. “Eptaxial growth without slope selection: energetics, coarsening, and dynamic scaling.” J. Nonlinear Sci. 14 (2004): 429–51.
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Lin, H. E., J. G. Liu, and W. Q. Xu. “Effects of small viscosity and far field boundary conditions for hyperbolic systems.” Communications on Pure and Applied Analysis 3, no. 2 (January 1, 2004): 267–90. https://doi.org/10.3934/cpaa.2004.3.267.Full Text
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Liu, J. G., and C. Wang. “High order finite difference method for unsteady incompressible flow on multi-connected domain in vorticity-stream function formulation.” Computer and Fluids 33 (2004): 223–55.
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Liu, J. G., and C. Wang. “High order finite difference methods for unsteady incompressible flows in multi-connected domains.” Computers and Fluids 33, no. 2 (January 1, 2004): 223–55. https://doi.org/10.1016/S0045-7930(03)00037-9.Full Text
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Liu, J. G., and W. Q. Xu. “Far field boundary condition for convection diffusion equation at zero viscosity limit.” Quarterly of Applied Mathematics 62, no. 1 (January 1, 2004): 27–52. https://doi.org/10.1090/qam/2032571.Full Text
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Duraisamy, K., J. D. Baeder, and J. G. Liu. “Concepts and Application of Time-Limiters to High Resolution Schemes.” Journal of Scientific Computing 19, no. 1–3 (December 1, 2003): 139–62. https://doi.org/10.1023/A:1025395707090.Full Text
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Li, B., and J. G. Liu. “Thin film epitaxy with or without slope selection.” European Journal of Applied Mathematics 14, no. 6 (December 1, 2003): 713–43. https://doi.org/10.1017/S095679250300528X.Full Text
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Liu, J. G., C. Wang, and H. Johnston. “A Fourth Order Scheme for Incompressible Boussinesq Equations.” Journal of Scientific Computing 18, no. 2 (April 1, 2003): 253–85. https://doi.org/10.1023/A:1021168924020.Full Text
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Chainais-Hillairet, C., J. G. Liu, and Y. J. Peng. “Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis.” Mathematical Modelling and Numerical Analysis 37, no. 2 (January 1, 2003): 319–38. https://doi.org/10.1051/m2an:2003028.Full Text
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Chern, I. L., J. G. Liu, and W. C. Wang. “Accurate evaluation of electrostatics for macromolecules in solution.” Methods and Applications of Analysis 10 (2003): 309–28.
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Wang, C., and J. G. Liu. “Positivity property of second-order flux-splitting schemes for the compressible Euler equations.” Discrete and Continuous Dynamical Systems Series B 3, no. 2 (January 1, 2003): 201–28. https://doi.org/10.3934/dcdsb.2003.3.201.Full Text
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Wang, C., and J. G. Liu. “Fourth order convergence of a compact difference solver for incompressible flow.” Commun. Appl. Anal. 7 (2003): 171–91.
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Weinan, E., and J. G. Liu. “ADDENDUM TO “GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS”*.” Communications in Mathematical Sciences 1, no. 4 (January 1, 2003): 837–837. https://doi.org/10.4310/CMS.2003.v1.n4.a10.Full Text
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Weinan, E., and J. G. Liu. “Gauge method for viscous incompressible flows.” Comm. Math. Sci. 1 (2003): 317–32.
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Johnston, H., and J. G. Liu. “Finite difference schemes for incompressible flow based on local pressure boundary conditions.” Journal of Computational Physics 180, no. 1 (July 20, 2002): 120–54. https://doi.org/10.1006/jcph.2002.7079.Full Text
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Wang, C., and J. G. Liu. “Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation.” Numerische Mathematik 91, no. 3 (May 1, 2002): 543–76. https://doi.org/10.1007/s002110100311.Full Text
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Weinan, E., and J. G. Liu. “Projection method III: Spatial discretization on the staggered grid.” Mathematics of Computation 71, no. 237 (January 1, 2002): 27–47. https://doi.org/10.1090/S0025-5718-01-01313-8.Full Text
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Liu, J. G., and W. C. Wang. “An energy-preserving MAC-Yee scheme for the incompressible MHD equation.” Journal of Computational Physics 174, no. 1 (November 20, 2001): 12–37. https://doi.org/10.1006/jcph.2001.6772.Full Text
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Liu, J. G., and E. Weinan. “Simple finite element method in vorticity formulation for incompressible flows.” Mathematics of Computation 70, no. 234 (April 1, 2001): 579–93. https://doi.org/10.1090/S0025-5718-00-01239-4.Full Text
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Liu, J. G., and Z. Xin. “Convergence of the point vortex method for 2-D vortex sheet.” Mathematics of Computation 70, no. 234 (April 1, 2001): 595–606. https://doi.org/10.1090/S0025-5718-00-01271-0.Full Text
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Liu, J. G., and E. Weinan. “Simple finite element method in vorticity formulation for incompressible flow.” Math. Comp. 69 (2001): 1385–1407.
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Liu, J. G., and Z. Xin. “Convergence of point vortex method for 2-D vortex sheet.” Math. Comp. 70 (2001): 565–606.
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Weinan, E., and J. G. Liu. “Gauge finite element method for incompressible flows.” International Journal for Numerical Methods in Fluids 34, no. 8 (December 1, 2000): 701–10. https://doi.org/10.1002/1097-0363(20001230)34:8<701::AID-FLD76>3.0.CO;2-B.Full Text
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Liu, J. G., and Z. P. Xin. “Convergence of a Galerkin method for 2-D discontinuous Euler flows.” Communications on Pure and Applied Mathematics 53, no. 6 (June 1, 2000): 786–98. https://doi.org/10.1002/(SICI)1097-0312(200006)53:6<786::AID-CPA3>3.3.CO;2-P.Full Text Link to Item
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Liu, J. G., and C. W. Shu. “A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows.” Journal of Computational Physics 160, no. 2 (May 20, 2000): 577–96. https://doi.org/10.1006/jcph.2000.6475.Full Text
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Liu, J. G., and Z. Xin. “Convergence of a Galerkin method for 2-D discontinuous Euler flows.” Communications on Pure and Applied Mathematics 53, no. 6 (January 1, 2000): 786–98. https://doi.org/10.1002/(SICI)1097-0312(200006)53:6<786::AID-CPA3>3.0.CO;2-Y.Full Text
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Wang, C., and J. G. Liu. “Convergence of gauge method for incompressible flow.” Mathematics of Computation 69, no. 232 (January 1, 2000): 1385–1407. https://doi.org/10.1090/s0025-5718-00-01248-5.Full Text
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Lefloch, P. G., and J. G. Liu. “Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions.” Mathematics of Computation 68, no. 227 (January 1, 1999): 1025–55. https://doi.org/10.1090/s0025-5718-99-01062-5.Full Text
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Wang, Z. J., J. G. Liu, and S. Childress. “Connection between corner vortices and shear layer instability in flow past an ellipse.” Physics of Fluids 11, no. 9 (January 1, 1999): 2446–48. https://doi.org/10.1063/1.870108.Full Text
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Choi, H., and J. G. Liu. “The Reconstruction of Upwind Fluxes for Conservation Laws: Its Behavior in Dynamic and Steady State Calculations.” Journal of Computational Physics 144, no. 2 (August 10, 1998): 237–56. https://doi.org/10.1006/jcph.1998.5970.Full Text
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Xu, E., and J. G. Liu. “Pricing of mortgage-backed securities with option-adjusted spread.” Managerial Finance 24 (1998): 94–109.
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E, W., and J. G. Liu. “Finite Difference Methods for 3D Viscous Incompressible Flows in the Vorticity-Vector Potential Formulation on Nonstaggered Grids.” Journal of Computational Physics 138, no. 1 (November 15, 1997): 57–82. https://doi.org/10.1006/jcph.1997.5815.Full Text
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Chen, G. Q., and J. G. Liu. “Convergence of difference schemes with high resolution for conservation laws.” Mathematics of Computation 66, no. 219 (January 1, 1997): 1027–53. https://doi.org/10.1090/s0025-5718-97-00859-4.Full Text
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Weinan, E., and J. G. Liu. “Finite difference schemes for incompressible flows in the velocity - impulse density formulation.” Journal of Computational Physics 130, no. 1 (January 1, 1997): 67–76. https://doi.org/10.1006/jcph.1996.5537.Full Text
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Weinan, E., and J. G. Liu. “Vorticity boundary condition and related issues for finite difference schemes.” Journal of Computational Physics 124, no. 2 (March 15, 1996): 368–82. https://doi.org/10.1006/jcph.1996.0066.Full Text
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E, Weinan, and Jian-Guo Liu. “Finite difference schemes for incompressible flows in vorticity formulations.” Edited by Yves Gagnon, Georges-Henri Cottet, David G., Ahmed F., and Eckart Meiburg. Esaim: Proceedings 1 (1996): 181–95. https://doi.org/10.1051/proc:1996009.Full Text
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Jin, S., and J. G. Liu. “The effects of numerical viscosities: I. Slowly moving shocks.” Journal of Computational Physics 126, no. 2 (January 1, 1996): 373–89. https://doi.org/10.1006/jcph.1996.0144.Full Text
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Jin, S., and J. G. Liu. “Oscillations induced by numerical viscosities.” Mat. Contemp. 10 (1996): 169–80.
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Levermore, C. D., and J. G. Liu. “Large oscillations arising in a dispersive numerical scheme.” Physica D: Nonlinear Phenomena 99, no. 2–3 (January 1, 1996): 191–216. https://doi.org/10.1016/S0167-2789(96)00157-1.Full Text
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Liu, J. G., and Z. Xin. “Boundary layer behavior in the fluid-dynamic limit for a nonlinear model Boltzmann equation.” Arch. Rat. Mech. Anal. 135 (1996): 61–105.
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Liu, J. G., and Z. Xin. “Kinetic and viscous boundary layers for broadwell equations.” Transport Theory and Statistical Physics 25, no. 3–5 (January 1, 1996): 447–61. https://doi.org/10.1080/00411459608220713.Full Text
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Weinan, E., and J. G. Liu. “Projection method II: Godunov-Ryabenki analysis.” Siam Journal on Numerical Analysis 33, no. 4 (January 1, 1996): 1597–1621. https://doi.org/10.1137/s003614299426450x.Full Text
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Weinan, E., and J. G. Liu. “Essentially compact schemes for unsteady viscous incompressible flows.” Journal of Computational Physics 126, no. 1 (January 1, 1996): 122–38. https://doi.org/10.1006/jcph.1996.0125.Full Text
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Liu, J. G., and Z. Xin. “Convergence of vortex methods for weak solutions to the 2-D Euler equations with vortex sheets data.” Comm. Pure Appl. Math. 48 (1995): 611–28.
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Weinan, E., and J. G. Liu. “Projection method I: convergence and numerical boundary layers.” Siam J. Numer. Anal. 32 (1995): 1017–57.
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Jin, S., and J. G. Liu. “Relaxation and diffusion enhanced dispersive waves.” Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences 446, no. 1928 (January 1, 1994): 555–63. https://doi.org/10.1098/rspa.1994.0120.Full Text
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Lefloch, P., and J. G. Liu. “Discrete entropy and monotonicity criteria for hyperbolic conservation laws.” C.R. Acad. Sci. Paris. 319 (1994): 881–86.
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CHEN, G. Q., and J. G. LIU. “CONVERGENCE OF 2ND-ORDER SCHEMES FOR ISENTROPIC GAS-DYNAMICS.” Mathematics of Computation 61, no. 204 (October 1, 1993): 607–27. https://doi.org/10.2307/2153243.Full Text Link to Item
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Liu, J. G., and Z. Xin. “Nonlinear stability of discrete shocks for systems of conservation laws.” Archive for Rational Mechanics and Analysis 125, no. 3 (September 1, 1993): 217–56. https://doi.org/10.1007/BF00383220.Full Text
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Chen, G. Q., and J. G. Liu. “Convergence of second-order schemes for isentropic gas dynamics.” Math. Comp. 61 (1993): 607–29.
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Engquist, B., and J. G. Liu. “Numerical methods for oscillatory solutions to hyperbolic problems.” Comm. Pure Appl. Math. 46 (1993): 1327–61.
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Liu, J. G., and Z. Xin. “L1-stability of stationary discrete shocks.” Math. Comp. 60 (1993): 233–44.
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Liu, Jian-Guo, and Zhouping Xin. “L 1 -Stability of Stationary Discrete Shocks.” Mathematics of Computation 60, no. 201 (January 1993): 233–233. https://doi.org/10.2307/2153163.Full Text
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Conference Papers
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Frouvelle, A., and J. G. Liu. “Long-Time Dynamics for a Simple Aggregation Equation on the Sphere.” In Springer Proceedings in Mathematics and Statistics, 282:457–79, 2019. https://doi.org/10.1007/978-3-030-15096-9_16.Full Text
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Liu, J. G., and Y. Zhang. “Convergence of diffusion-drift many particle systems in probability under a sobolev norm.” In Springer Proceedings in Mathematics and Statistics, 162:195–223, 2016. https://doi.org/10.1007/978-3-319-32144-8_10.Full Text
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Degond, Pierre, Amic Frouvelle, and Jian-Guo Liu. “A NOTE ON PHASE TRANSITIONS FOR THE SMOLUCHOWSKI EQUATION WITH DIPOLAR POTENTIAL.” In Hyperbolic Problems: Theory, Numerics, Applications, edited by F. Ancona, A. Bressan, P. Marcati, and A. Marson, 8:179–92. AMER INST MATHEMATICAL SCIENCES-AIMS, 2014.Link to Item
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- Teaching & Mentoring
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Recent Courses
- Scholarly, Clinical, & Service Activities
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Presentations & Appearances
- A selection principle for weak KAM solutions via Freidlin-Wentzell large deviation principle of invariant measures. International Conference on New Trends in Computational and Data Science. Caltech. December 2022 2022
- Modeling and analysis of a tumor growth model with autophagy. PDE seminar. Minzu University of China. November 29, 2022 2022
- A selection principle for weak KAM solutions via Freidlin-Wentzell large deviation principle of invariant measures. Applied Mathematics Colloquium. Columbia University. November 15, 2022 2022
- A selection principle for weak KAM solutions via Freidlin-Wentzell large deviation principle of invariant measures. Colloquium. Tulane University. October 27, 2022 2022
- A selection principle for weak KAM solutions via Freidlin-Wentzell large deviation principle of invariant measures. CASA colloquium. Eindhoven University of Technology. October 26, 2022 2022
- Macroscopic dynamics for nonequilibrium biochemical reactions from a Hamiltonian viewpoin. Oberseminar Mathematische Physik. Universität Tübingen. October 20, 2022 2022
- Random batch method for interacting particle systems and mean field limi. PDE seminar. Universität Mannheim. October 19, 2022 2022
- A selection principle for weak KAM solutions via Freidlin-Wentzell large deviation principle of invariant measures. MAC Seminar,. Université Paul Sabatier. October 4, 2022 2022
- A selection principle for weak KAM solutions via Freidlin-Wentzell large deviation principle of invariant measures. Colloquium, . Beijing International Center for Mathematical Research (BICMR),. September 13, 2022 2022
- A selection principle for weak KAM solutions via Freidlin-Wentzell large deviation principle of invariant measures. Probability and Statistics Seminar. University of Kansas. September 7, 2022 2022
- Droplets with moving contact line and insoluble surfactant: variational derivation and interface computations. Workshop on interface problems: modeling, theory and numerics,. Chinese University of Hong Kong, Shenzhen. September 2022 2022
- Macroscopic dynamics for nonequilibrium biochemical reactions from a Hamiltonian viewpoint. Minisymposium Computations and Optimal Control for Biochemical System. SIAM Conference on Mathematics of Data Science. September 2022 2022
- Thermodynamic limit of chemical master equation via nonlinear semigroup. PDE seminar. University of Oxford. June 22, 2022 2022
- Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup. INS Colloquium. Shanghai Jiao Tong University. June 7, 2022 2022
- Thermodynamic Limit of Chemical Master Equation via Nonlinear Semigroup. Collective Dynamics and Networks workshop. Duke Kunshan University. June 2022 2022
- Mean-field limit and large deviation for chemical reaction kinetics from Hamiltonian viewpoint and upwind scheme. Frontiers in numerical analysis of kinetic equations,. Isaac Newton Institute for Mathematical Sciences. May 2022 2022
- Random batch method for interacting particle systems. CCAM seminar. Purdue University. April 18, 2022 2022
- Macroscopic dynamics for nonequilibrium biochemical reactions from a Hamiltonian viewpoin. Clements Scientific Computing Seminar Series. Southern Methodist University. March 4, 2022 2022
- Macroscopic dynamics for nonequilibrium biochemical reactions from a Hamiltonian viewpoint. Special Session: Recent Developments of Variational Methods in Deterministic and Stochastic Systems. AMS Spring Central Sectional Meeting. March 2022 2022
- Coagulation-Fragmentation model without detailed balance for animal group-size statistics. September 11, 2013 2013
- Coagulation-Fragmentation model without detailed balance for animal group-size statistics. August 8, 2013 2013
- Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. August 1, 2013 2013
- The dynamic and steady states for multi-dimensional Keller-Segel model with the diffusion exponent m > 0. July 26, 2013 2013
- Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. July 15, 2013 2013
- Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics. June 25, 2013 2013
- Global weak solution for kinetic models of active swimming and passive suspensions. May 1, 2013 2013
- The dynamic and steady states for multi-dimensional Keller-Segel model with the diffusion exponent m>0. February 21, 2013 2013
- Phase transitions for self-organized dynamics and sweeping networks. January 1, 2013 2013
- Estimate on Laplace-Leray commutator and application to the Navier-Stokes equation in a bounded domain. December 11, 2012 2012
- Phase transition for Smoluchowski equation. Seminar. Seminar, University of Rennes, France. November 22, 2012 2012
- Global weak solution for kinetic models of active swimming and passive suspensions. October 9, 2012 2012
- Phase transition of self-alignment in flocking dynamics. September 7, 2012 2012
- Multi-dimensional Keller-Segel model with supercritical diffusion exponent. August 7, 2012 2012
- Multi-dimensional Keller-Segel model with supercritical diffusion exponent. July 17, 2012 2012
- Viscek flocking dynamics and phase transition. June 28, 2012 2012
- Bacterium swimming, flocking dynamics and phase transition. June 27, 2012 2012
- Mathematical analysis of flocking dynamics in biology and social science. June 19, 2012 2012
- Convergence of a Particle Method and Global Weak Solutions for a Family of Evolutionary PDEs. December 15, 2011 2011
- Asymptotic-Preserving schemes for kinetic–fluid modeling of disperse two-phase flows. December 8, 2011 2011
- Global weak solution for kinetic models of active swimming and passive suspensions. November 23, 2011 2011
- Dynamics of orientational alignment and phase transition. October 20, 2011 2011
- Pressure boundary condition and projection method. September 1, 2011 2011
- Hydrodynamics of Vicsek self-alignment interactions. August 2, 2011 2011
- Multi-dimensional degenerate Keller-Segel system with critical diffusion exponent 2n/(n+2). August 1, 2011 2011
- Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation. July 13, 2011 2011
- Dynamics of orientational alignment and phase transition. June 1, 2011 2011
- Dynamics of orientational alignment and phase transition. April 20, 2011 2011
- Dynamics of orientational alignment and phase transition. April 6, 2011 2011
- Dynamics of orientational alignment and phase transition. February 11, 2011 2011
- Dynamics of orientational alignment and phase transition. February 1, 2011 2011
- Asymptotic-preserving schemes for some kinetic equations. January 1, 2011 2011
- Dynamics of orientational alignment and phase transition. December 1, 2010 2010
- Modeling and analysis of collective behavior of self-propelled agents. December 1, 2010 2010
- Dynamics of orientational alignment and phase transition. November 18, 2010 2010
- Dynamics of orientational alignment and phase transition. November 12, 2010 2010
- Estimate on commutator of the Laplacian and Leray projection operators and application to Navier-Stokes equation in bounded domain. November 12, 2010 2010
- Modeling and analysis of collective behavior of self-propelled agents. November 11, 2010 2010
- Dynamics of orientational alignment and phase transition. November 1, 2010 2010
- Modeling and analysis of collective behavior of self-propelled agents. October 19, 2010 2010
- Dynamics of orientational alignment and phase transition. October 1, 2010 2010
- Analysis of dynamics of Doi-Onsager phase transition. September 29, 2010 2010
- Analysis of Dynamics of Doi-Onsager Phase Transition. September 6, 2010 2010
- Estimate on commutator of the Laplacian and Leray projection operators and application to Navier-Stokes equation in bounded domain. September 3, 2010 2010
- Asymptotic-preserving schemes for some kinetic equations. August 31, 2010 2010
- Some estimates on collective behavior of self-propelled biological agents. December 3, 2009 2009
- Asymptotic-preserving schemes for fluids equations and kinetic equations. November 17, 2009 2009
- Modeling and analysis of collective behavior of self-propelled agents. November 6, 2009 2009
- The challenge of simulating fluid flow accurately in the presence of boundaries. November 5, 2009 2009
- Analysis and computation of Navier–Stokes equation in bounded domains. October 5, 2009 2009
- Modeling and analysis of collective behavior of self-propelled agents. September 4, 2009 2009
- Controlling numerical dissipation and time stepping in some multi-scale kinetic/fluid simulations. September 1, 2009 2009
- Modeling and analysis of collective behavior of self-propelled agents. August 19, 2009 2009
- Some numerical analysis issues in material and fluids simulations. August 1, 2009 2009
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. July 1, 2009 2009
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit. July 1, 2009 2009
- Asymptotic-preserving schemes for fluids equations and kinetic equations. June 9, 2009 2009
- The challenge of simulating fluid flow accurately in the presence of boundaries. June 8, 2009 2009
- Pressure and projection methods for viscous incompressible flows. May 11, 2009 2009
- A new approach in analysis and computation of Navier-Stokes equation in bounded domain. March 12, 2009 2009
- The challenge of simulating incompressible fluid flow accurately in the presence of boundaries. January 30, 2009 2009
- All speed asymptotic-preserving schemes for compressible flows. August 1, 2008 2008
- A simple proof of Cucker-Smale flocking dynamics and the mean field limit. July 25, 2008 2008
- A simple proof of Cucker-Smale flocking dynamics and the mean field limit}. July 24, 2008 2008
- Mach number uniform asymptotic preserving schemes for fluids and plasmas. July 14, 2008 2008
- The challenge of simulating incompressible fluid flow accurately in the presence of boundaries. May 9, 2008 2008
- The challenge of simulating incompressible fluid flow accurately in the presence of boundaries. May 6, 2008 2008
- A simple proof of the Cucker-Smale flocking dynamics and mean-field limit,. April 1, 2008 2008
- Computation of incompressible flow past a sphere and local behavior of boundary layer separation. April 1, 2008 2008
- A simple proof of Cucker-Smale flocking dynamics and the mean field limit. March 21, 2008 2008
- On computation of incompressible flow past a sphere. March 10, 2008 2008
- Finite element Navier-Stokes solvers based on an unconstrained reformulation. March 4, 2008 2008
- Finite element Navier-Stokes solvers based on an unconstrained reformulation. February 22, 2008 2008
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Outreach & Engaged Scholarship
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Service to the Profession
- Associate editor . Communications on Applied Mathematics and Computation. Springer. 2018 2018
- Associate editor. Annals of Mathematical Sciences and Applications. 2015 2015
- Chair of the international committee for the oral exam in the section Applied and Computational Mathematics for S. T. Yau College Mathematics Contests. 2013 2013
- Member of the Steering Committee for the Tsinghua Sanya International Mathematics Forum. 2013 2013
- Member of the Steering Committee for the Tsinghua Sanya International Mathematics Forum. 2013 2013
- Tutorial Lectures for Program: "Partial Differential Equations in Kinetic Theories", Newton Institute, Cambridge, UK. August 2010 - September 2010 2010
- panelist : NSF Numerical Methods (P100833) panel. March 2010 2010
- Organizer Committee : IMA Workshop on Analysis and Computation of Incompressible Fluid Flow. February 2010 2010
- exterior doctoral committee for Baver Okutmustur, University Paris VI. 2010 2010
- Organizer Committee, Singapore : Two Month Program on Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design. July 1, 2009 - August 30, 2009 2009
- Organizer Committee, Singapore : Two Month Program on Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design. July 2009 - August 2009 2009
- Managing Editor for journal ``Methods and Applications of Analysis ''. International Press. 2008 2008
- Co-Editor for journal ``Journal of Hyperbolic Differential Equations . World Scientific. 2004 - 2022 2004 - 2022
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Service to Duke
Some information on this profile has been compiled automatically from Duke databases and external sources. (Our About page explains how this works.) If you see a problem with the information, please write to Scholars@Duke and let us know. We will reply promptly.