Scholars@Duke

• Background
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  Education, Training, & Certifications

  • Ph.D., University of Science and Technology of China (China) 2013
• Expertise
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  Subject Headings

  • Applied mathematics
• Publications & Artistic Works
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  Selected Publications

  • Academic Articles

    • Shen, L., H. Huang, P. Lin, Z. Song, and S. Xu. “An energy stable C⁰ finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density.” Journal of Computational Physics 405 (March 15, 2020). https://doi.org/10.1016/j.jcp.2019.109179.
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    • Xu, Shixin, Minxin Chen, Chun Liu, Ran Zhang, and Xingye Yue. “Behavior of different numerical schemes for random genetic drift.” Bit Numerical Mathematics 59, no. 3 (September 2019): 797–821. https://doi.org/10.1007/s10543-019-00749-4.
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    • Liao, Mai-Jia, Ming-Tzo Wei, Shi-Xin Xu, H. Daniel Ou-Yang, and Ping Sheng. “Non-Stokes drag coefficient in single-particle electrophoresis: New insights on a classical problem.” Chinese Physics B 28, no. 8 (August 2019): 084701–084701. https://doi.org/10.1088/1674-1056/28/8/084701.
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    • Zhu, Yi, Shixin Xu, Robert S. Eisenberg, and Huaxiong Huang. “A Bidomain Model for Lens Microcirculation.” Biophysical Journal 116, no. 6 (March 2019): 1171–84. https://doi.org/10.1016/j.bpj.2019.02.007.
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    • Xu, S., X. Chen, C. Liu, and X. Yue. “Numerical method for multi-alleles genetic drift problem.” Siam Journal on Numerical Analysis 57, no. 4 (January 1, 2019): 1770–88. https://doi.org/10.1137/18M1211581.
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    • Xu, Shixin, Mark Alber, and Zhiliang Xu. “Three-Phase Model of Visco-Elastic Incompressible Fluid Flow and its Computational Implementation.” Communications in Computational Physics 25, no. 2 (2019). https://doi.org/10.4208/cicp.oa-2017-0167.
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    • Zhao, Xiukun, Nathan Gold, Yibin Fang, Shixin Xu, Yongxin Zhang, Jianmin Liu, Arvind Gupta, and Huaxiong Huang. “Vertebral artery fusiform aneurysm geometry in predicting rupture risk.” Royal Society Open Science 5, no. 10 (October 31, 2018): 180780. https://doi.org/10.1098/rsos.180780.
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    • Xu, Shixin, Zhiliang Xu, Oleg V. Kim, Rustem I. Litvinov, John W. Weisel, and Mark Alber. “Model predictions of deformation, embolization and permeability of partially obstructive blood clots under variable shear flow.” Journal of the Royal Society, Interface 14, no. 136 (November 2017). https://doi.org/10.1098/rsif.2017.0441.
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    • Höök, Peter, Rustem I. Litvinov, Oleg V. Kim, Shixin Xu, Zhiliang Xu, Joel S. Bennett, Mark S. Alber, and John W. Weisel. “Strong Binding of Platelet Integrin αIIbβ3 to Fibrin Clots: Potential Target to Destabilize Thrombi.” Scientific Reports 7, no. 1 (October 11, 2017): 13001. https://doi.org/10.1038/s41598-017-12615-w.
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    • Zhang, Changjuan, Yun Bai, Shixin Xu, and Xingye Yue. “Homogenization for chemical vapor infiltration process.” Communications in Mathematical Sciences 15, no. 4 (2017): 1021–40. https://doi.org/10.4310/cms.2017.v15.n4.a5.
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    • Xu, Shixin, and Weiqing Ren. “Reinitialization of the Level-Set Function in 3d Simulation of Moving Contact Lines.” Communications in Computational Physics 20, no. 5 (November 2016): 1163–82. https://doi.org/10.4208/cicp.210815.180316a.
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    • Xu, Shixin, Xingye Yue, and Changrong Zhang. “Homogenization: In mathematics or physics?” Discrete and Continuous Dynamical Systems  Series S 9, no. 5 (October 2016): 1575–90. https://doi.org/10.3934/dcdss.2016064.
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    • Liao, Maijia, Li Wan, Shixin Xu, Chun Liu, and Ping Sheng. “The Poisson–Boltzmann equation and the charge separation phenomenon at the silica-water interface: A holistic approach.” Annals of Mathematical Sciences and Applications 1, no. 1 (2016): 217–49. https://doi.org/10.4310/amsa.2016.v1.n1.a7.
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    • Xu, Shixin, and Xingye Yue. “Homogenization of thermal-hydro-mass transfer processes.” Discrete & Continuous Dynamical Systems  S 8, no. 1 (2015): 55–76. https://doi.org/10.3934/dcdss.2015.8.55.
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    • Zhang, Zhen, Shixin Xu, and Weiqing Ren. “Derivation of a continuum model and the energy law for moving contact lines with insoluble surfactants.” Physics of Fluids 26, no. 6 (June 2014): 062103–062103. https://doi.org/10.1063/1.4881195.
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    • Xu, Shixin, Minxin Chen, Sheereen Majd, Xingye Yue, and Chun Liu. “Modeling and Simulating Asymmetrical Conductance Changes in Gramicidin Pores.” Computational and Mathematical Biophysics 2, no. 1 (January 1, 2014). https://doi.org/10.2478/mlbmb-2014-0003.
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    • Xu, Shixin, Ping Sheng, and Chun Liu. “An energetic variational approach for ion transport.” Communications in Mathematical Sciences 12, no. 4 (2014): 779–89. https://doi.org/10.4310/cms.2014.v12.n4.a9.
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    • Wan, Li, Shixin Xu, Maijia Liao, Chun Liu, and Ping Sheng. “Self-Consistent Approach to Global Charge Neutrality in Electrokinetics: A Surface Potential Trap Model.” Physical Review X 4, no. 1 (n.d.). https://doi.org/10.1103/physrevx.4.011042.
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  • Conference Papers

    • Alber, Mark, Shixin Xu, Zhiliang Xu, Oleg Kim, Samuel Britton, Rustem Litvinov, and John Weisel. “Multi-Scale Models of Deformation of Blood Clots.” In Biophysical Journal, 116:323a-323a. Elsevier BV, 2019. https://doi.org/10.1016/j.bpj.2018.11.1751.
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• Teaching & Mentoring
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  Teaching Activities

  • Session 1: Math 101 recitation
    Session 2: Math 101 Mathematical Foundation 
    Session 3: Math 101 Mathematical Foundation 
    Session 4: Math 305 Advanced Linear Algebra

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