Stephanos Venakides | Scholars@Duke

Stephanos Venakides
Professor of Mathematics

Fields of work: Pure and applied mathematics, physics and biology. Specific areas: Differential equations, integrable systems, acoustic and electromagnetic scattering (especially transmission anomalies and resonances), photonic crystals, exciton polaritons and recently micromagnetics.

Invited as one of the three Abel lecturers in the award of the Abel Prize to Peter Lax, The Norwegian Academy of Science and Letters, Oslo, Norway, May 2005

http://www.abelprize.no/c57575/seksjon/vis.html?tid=58729

Current Research Interests

MICROMAGNETICS (NSF Supported)
This area of physics deals with the prediction of magnetic behaviors at sub-micrometer length scales. The area has great scientific and technological importance and involves challenging matehmatical questions. From wikipedia: “Apart from conventional magnetic domains and domain-walls, the theory also treats the statics and dynamics of topological line and point configurations, e.g. magnetic vortex and antivortex states or even 3d-Bloch points, where, for example, the magnetization leads radially into all directions from the origin, or into topologically equivalent configurations. Thus in space, and also in time, nano- (and even pico-)scales are used. The corresponding topological quantum numbers are thought to be used as information carriers, to apply the most recent, and already studied, propositions in information technology .”

I entered this area, working collaboratively in June 2017. Our paper on traveling domain walls (they separate two domains of different magnetization, submitted to "Nonlinearity" in June 2018) is currently in review. By analyzing the related Landau-Lifschits equation and using a topological argument, the paper proves the existence of traveling domain walls. We believe that this is the first such proof, in domain wall models that have fairly realistic assumptions. We are currently researching the profile of "skyrmions", that is, localized magnetic structures in a two dimensional magnetic medium that can be thought of as magnetization solitons.

ACOUSTIC AND ELECTROMAGNETIC SCATTERING: THEORETICAL AND COMPUTATIONAL (NSF supported) Collaborative work on the scattering from scatterers with spatially periodic geometry. Our paper has been accepted for publication by "Communications in Computational Physics". One of its strengths is that it can handle frequencies that exhibit the so-called Wood anomaly.

MATHEMATICAL BIOLOGY: I am a continuing member of the Kiehart dorsal closure group. My participation this year was mainly on a review paper from the group on the "Mathematical Modeling of Dorsal Closure", that appeared in Progress in Biophysics and Molecular Biology 137 (September 2018).

Office Hours

Tuesday and Thursday 3:00-4:00pm

Current Appointments & Affiliations

Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 1991

Contact Information

104 Physics Bldg, Durham, NC 27708
Box 90320, Durham, NC 27708-0320
ven@math.duke.edu (919) 660-2815
http://www.math.duke.edu/~ven

Background
Education, Training, & Certifications
- Ph.D., New York University 1982
- M.S., Georgia Institute of Technology 1979
- B.S., National Technical University of Athens (Greece) 1969
Duke Appointment History
- Associate Professor with Tenure, Mathematics, Trinity College of Arts & Sciences 1986 - 1991
- Director of Graduate Studies, Mathematics, Trinity College of Arts & Sciences 1987 - 1989
Academic Positions Outside Duke
- Assistant Professor, Stanford University. 1982 - 1986
Research
Selected Grants
- Wave-breaking and Resonant Phenomena awarded by National Science Foundation 2012 - 2018
- Wave-breaking and Resonant Phenomena awarded by National Science Foundation 2007 - 2014
- Nonlinear Waves in Uniform and Periodic Media awarded by National Science Foundation 2002 - 2008
- Conference on Recent Advances in Nonlinear Partial Differential Equations awarded by National Science Foundation 2006 - 2007
- Wave Propagation in Linear and Nonlinear Photonic Band-Gap Materials awarded by Army Research Office 1999 - 2003
- Propagation of Waves in Optical and Photonic Media awarded by Army Research Office 1996 - 2000
- Dispersive Shocks in Continuous and Discrete Media awarded by National Science Foundation 1995 - 1999
- Propagation of Waves in Optical and Photonic Media awarded by Army Research Office 1996 - 1998
- Propagation of Waves in Optical and Photonic Media awarded by Army Research Office 1996 - 1997
- The Generation and Propagation of Dispersive Oscillations in Non-linear Systems awarded by Army Research Office 1992 - 1995
- The Generation of Dispersive Oscillations In Non-linear Systems awarded by Army Research Office 1992 - 1995
- Generation and Propagation of Dispersive Waves in Integrable Systems awarded by National Science Foundation 1991 - 1994
- The Generation and Propagation of Dispersive Oscillations in Non-Linear Systems awarded by Army Research Office 1992 - 1993
- Generation and Propagation of Dispensive Waves in Integrable Systems awarded by National Science Foundation 1991 - 1993
- Generations and Propagation of Dispersive Waves in Integrable Systems awarded by National Science Foundation 1991 - 1992
- Dispersive Regularization of Shocks awarded by Army Research Office 1991 - 1992
- Nonlinear Oscillations/ Completely Integrable Systems awarded by National Science Foundation 1987 - 1990
Publications & Artistic Works
Selected Publications
- Academic Articles
  - Komineas, S., C. Melcher, and S. Venakides. “The profile of chiral skyrmions of small radius.” Nonlinearity 33, no. 7 (July 1, 2020): 3395–3408. https://doi.org/10.1088/1361-6544/ab81eb.
    Full Text
  - Komineas, S., C. Melcher, and S. Venakides. “Traveling domain walls in chiral ferromagnets.” Nonlinearity 32, no. 7 (May 30, 2019): 2392–2412. https://doi.org/10.1088/1361-6544/ab1430.
    Full Text
  - Pérez-Arancibia, C., S. P. Shipman, C. Turc, and S. Venakides. “Domain decomposition for quasi-periodic scattering by layered media via robust boundary-integral equations at all frequencies.” Communications in Computational Physics 26, no. 1 (January 1, 2019): 265–310. https://doi.org/10.4208/cicp.OA-2018-0021.
    Full Text
  - Venakides, Stephanos, Stavros Komineas, and Christof Melcher. “The profile of chiral skyrmions of large radius.” Arxiv, 2019.
  - Aristotelous, A. C., J. M. Crawford, G. S. Edwards, D. P. Kiehart, and S. Venakides. “Mathematical models of dorsal closure.” Progress in Biophysics and Molecular Biology 137 (September 2018): 111–31. https://doi.org/10.1016/j.pbiomolbio.2018.05.009.
    Full Text
  - Perez-Arancibia, C., S. Shipman, C. Turc, and S. Venakides. “DDM solutions of quasiperiodic transmission problems in layered media via robust boundary integral equations at all frequencies.” Communications in Computational Physics, May 25, 2018.
  - Bruno, Oscar P., Stephen P. Shipman, Catalin Turc, and Venakides Stephanos. “Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies.” Proceedings. Mathematical, Physical, and Engineering Sciences 473, no. 2207 (November 2017): 20170242. https://doi.org/10.1098/rspa.2017.0242.
    Full Text
  - Kiehart, Daniel P., Janice M. Crawford, Andreas Aristotelous, Stephanos Venakides, and Glenn S. Edwards. “Cell Sheet Morphogenesis: Dorsal Closure in Drosophila melanogaster as a Model System.” Annual Review of Cell and Developmental Biology 33 (October 2017): 169–202. https://doi.org/10.1146/annurev-cellbio-111315-125357.
    Full Text
  - Bruno, O. P., S. P. Shipman, C. Turc, and S. Venakides. “Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472, no. 2191 (July 1, 2016). https://doi.org/10.1098/rspa.2016.0255.
    Full Text
  - Komineas, S., S. P. Shipman, and S. Venakides. “Lossless polariton solitons.” Physica D: Nonlinear Phenomena 316 (February 15, 2016): 43–56. https://doi.org/10.1016/j.physd.2015.10.018.
    Full Text
  - Komineas, S., S. P. Shipman, and S. Venakides. “Continuous and discontinuous dark solitons in polariton condensates.” Physical Review B Condensed Matter and Materials Physics 91, no. 13 (April 9, 2015). https://doi.org/10.1103/PhysRevB.91.134503.
    Full Text
  - Belov, S., and S. Venakides. “Long-time limit studies of an obstruction in the g-function mechanism for semiclassical focusing NLS,” 2015.
    Link to Item
  - Belov, S., and S. Venakides. “Smooth parametric dependence of asymptotics of the semiclassical focusing NLS.” Analysis and Pde 8, no. 2 (January 1, 2015): 257–88. https://doi.org/10.2140/apde.2015.8.257.
    Full Text
  - Jackson, Aaron D., Da Huang, Daniel J. Gauthier, and Stephanos Venakides. “Destructive impact of imperfect beam collimation in extraordinary optical transmission.” Journal of the Optical Society of America. A, Optics, Image Science, and Vision 30, no. 6 (June 2013): 1281–90. https://doi.org/10.1364/josaa.30.001281.
    Full Text
  - Shipman, S. P., and S. Venakides. “An exactly solvable model for nonlinear resonant scattering.” Nonlinearity 25, no. 9 (September 1, 2012): 2473–2501. https://doi.org/10.1088/0951-7715/25/9/2473.
    Full Text
  - Tovbis, A., and S. Venakides. “Semiclassical limit of the scattering transform for the focusing nonlinear Schrödinger equation.” International Mathematics Research Notices 2012, no. 10 (May 21, 2012): 2212–71. https://doi.org/10.1093/imrn/rnr092.
    Full Text
  - Tovbis, A., and S. Venakides. “Nonlinear steepest descent asymptotics for semiclassical limit of Integrable systems: Continuation in the parameter space.” Communications in Mathematical Physics 295, no. 1 (February 1, 2010): 139–60. https://doi.org/10.1007/s00220-009-0984-0.
    Full Text
  - Layton, Anita T., Yusuke Toyama, Guo-Qiang Yang, Glenn S. Edwards, Daniel P. Kiehart, and Stephanos Venakides. “Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure.” Hfsp Journal 3, no. 6 (December 15, 2009): 441–60. https://doi.org/10.2976/1.3266062.
    Full Text
  - Lefew, W. R., S. Venakides, and D. J. Gauthier. “Accurate description of optical precursors and their relation to weak-field coherent optical transients.” Physical Review a Atomic, Molecular, and Optical Physics 79, no. 6 (June 29, 2009). https://doi.org/10.1103/PhysRevA.79.063842.
    Full Text
  - Tovbis, A., and S. Venakides. “Determinant form of the complex phase function of the steepest descent analysis of Riemann-Hilbert problems and its application to the focusing nonlinear schrödinger equation.” International Mathematics Research Notices 2009, no. 11 (February 1, 2009): 2056–80. https://doi.org/10.1093/imrn/rnp011.
    Full Text
  - Tovbis, A., and S. Venakides. “Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation,” 2009.
    Link to Item
  - Ptitsyna, N., S. P. Shipman, and S. Venakides. “Fano resonance of waves in periodic slabs.” Mathematical Methods in Electromagnetic Theory, Mmet, Conference Proceedings, September 19, 2008, 73–78. https://doi.org/10.1109/MMET.2008.4580900.
    Full Text
  - Tovbis, A., S. Venakides, and X. Zhou. “Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data.” International Mathematics Research Notices 2007 (December 1, 2007). https://doi.org/10.1093/imrn/rnm094.
    Full Text
  - Buckingham, R., and S. Venakides. “Long-time asymptotics of the nonlinear Schrödinger equation shock problem.” Communications on Pure and Applied Mathematics 60, no. 9 (September 1, 2007): 1349–1414. https://doi.org/10.1002/cpa.20179.
    Full Text
  - Peralta, X. G., Y. Toyama, M. S. Hutson, R. Montague, S. Venakides, D. P. Kiehart, and G. S. Edwards. “Upregulation of forces and morphogenic asymmetries in dorsal closure during Drosophila development.” Biophysical Journal 92, no. 7 (April 2007): 2583–96. https://doi.org/10.1529/biophysj.106.094110.
    Full Text
  - Peralta, X. G., Y. Toyama, M. S. Hutson, R. Montague, S. Venakides, D. P. Kiehartand, and G. S. Edwards. “Resiliency, coordination, and synchronization of dorsal closure during Drosophila morphogenesis.” Biophysical Journal 92 (April 2007): 2583–96.
  - Tovbis, A., S. Venakides, and X. Zhou. “On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case.” Communications on Pure and Applied Mathematics 59, no. 10 (January 1, 2006): 1379–1432. https://doi.org/10.1002/cpa.20142.
    Full Text
  - Shipman, Stephen P., and Stephanos Venakides. “Resonant transmission near nonrobust periodic slab modes.” Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 71, no. 2 Pt 2 (February 23, 2005): 026611. https://doi.org/10.1103/physreve.71.026611.
    Full Text Open Access Copy
  - Tovbis, A., S. Venakides, and X. Zhou. “On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation.” Communications on Pure and Applied Mathematics 57, no. 7 (July 1, 2004): 877–985. https://doi.org/10.1002/cpa.20024.
    Full Text
  - Shipman, S. P., and S. Venakides. “Resonance and bound states in photonic crystal slabs.” Siam Journal on Applied Mathematics 64, no. 1 (October 1, 2003): 322–42. https://doi.org/10.1137/S0036139902411120.
    Full Text
  - Hutson, M Shane, Yoichiro Tokutake, Ming-Shien Chang, James W. Bloor, Stephanos Venakides, Daniel P. Kiehart, and Glenn S. Edwards. “Forces for morphogenesis investigated with laser microsurgery and quantitative modeling.” Science (New York, N.Y.) 300, no. 5616 (April 2003): 145–49. https://doi.org/10.1126/science.1079552.
    Full Text
  - Lipton, R. P., S. P. Shipman, and S. Venakides. “Optimization of Resonances in Photonic Crystal Slabs.” Proceedings of Spie the International Society for Optical Engineering 5184 (January 1, 2003): 168–77. https://doi.org/10.1117/12.505091.
    Full Text
  - Haider, M. A., S. P. Shipman, and S. Venakides. “Boundary-integral calculations of two-dimensional electromagnetic scattering in infinite photonic crystal slabs: Channel defects and resonances.” Siam Journal on Applied Mathematics 62, no. 6 (July 1, 2002): 2129–48. https://doi.org/10.1137/S003613990138531X.
    Full Text
  - El, G. A., A. L. Krylov, and S. Venakides. “Unified approach to KdV modulations.” Communications on Pure and Applied Mathematics 54, no. 10 (October 1, 2001): 1243–70. https://doi.org/10.1002/cpa.10002.
    Full Text
  - Deift, P., T. Kriecherbauer, K. R. McLaughlin, S. Venakides, and X. Zhou. “A riemann-Hilbert approach to asymptotic questions for orthogonal polynomials.” Journal of Computational and Applied Mathematics 133, no. 1–2 (August 1, 2001): 47–63. https://doi.org/10.1016/S0377-0427(00)00634-8.
    Full Text
  - El, G. A., A. L. Krylov, S. A. Molchanov, and S. Venakides. “Soliton turbulence as a thermodynamic limit of stochastic soliton lattices.” Physica D: Nonlinear Phenomena 152–153 (May 15, 2001): 653–64. https://doi.org/10.1016/S0167-2789(01)00198-1.
    Full Text
  - Georgieva, A., T. Kriecherbauer, and S. Venakides. “1:2 resonance mediated second harmonic generation in a 1-D nonlinear discrete periodic medium.” Siam Journal on Applied Mathematics 61, no. 5 (January 1, 2001): 1802–15. https://doi.org/10.1137/S0036139999365341.
    Full Text
  - Tovbis, A., and S. Venakides. “The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases.” Physica D: Nonlinear Phenomena 146, no. 1–4 (November 15, 2000): 150–64. https://doi.org/10.1016/S0167-2789(00)00126-3.
    Full Text
  - Venakides, S., M. A. Haider, and V. Papanicolaou. “Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures.” Siam Journal on Applied Mathematics 60, no. 5 (January 1, 2000): 1686–1706. https://doi.org/10.1137/s0036139999350779.
    Full Text
  - Beaky, M. M., J. B. Burk, H. O. Everitt, M. A. Haider, and S. Venakides. “Two-dimensional photonic crystal fabry-perot resonators with lossy dielectrics.” Ieee Transactions on Microwave Theory and Techniques 47, no. 11 (December 1, 1999): 2085–91. https://doi.org/10.1109/22.798003.
    Full Text
  - Cheng, P. J., S. Venakides, and X. Zhou. “Long-time asymptotics for the pure radiation solution of the sine-Gordon equation.” Communications in Partial Differential Equations 24, no. 7–8 (January 1, 1999): 1195–1262. https://doi.org/10.1080/03605309908821464.
    Full Text
  - Deift, P., T. Kriecherbauer, K. T. R. McLaughlin, S. Venakides, and X. Zhou. “Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory.” Communications on Pure and Applied Mathematics 52, no. 11 (January 1, 1999): 1335–1425. https://doi.org/10.1002/(SICI)1097-0312(199911)52:11<1335::AID-CPA1>3.0.CO;2-1.
    Full Text
  - Deift, P., T. Kriecherbauer, K. T. R. Mclaughlin, S. Venakides, and X. Zhou. “Strong asymptotics of orthogonal polynomials with respect to exponential weights.” Communications on Pure and Applied Mathematics 52, no. 12 (January 1, 1999): 1491–1552. https://doi.org/10.1002/(sici)1097-0312(199912)52:12<1491::aid-cpa2>3.0.co;2-%23.
    Full Text
  - Filip, A. M., and S. Venakides. “Existence and modulation of traveling waves in particle chains.” Communications on Pure and Applied Mathematics 52, no. 6 (January 1, 1999): 693–735. https://doi.org/10.1002/(sici)1097-0312(199906)52:6<693::aid-cpa2>3.0.co;2-9.
    Full Text
  - Georgieva, A., T. Kriecherbauer, and S. Venakides. “Wave propagation and resonance in a one-dimensional nonlinear discrete periodic medium.” Siam Journal on Applied Mathematics 60, no. 1 (January 1, 1999): 272–94. https://doi.org/10.1137/S0036139998340315.
    Full Text
  - Deift, P., S. Venakides, and X. Zhou. “An extension of the steepest descent method for Riemann-Hilbert problems: the small dispersion limit of the Korteweg-de Vries (KdV) equation.” Proceedings of the National Academy of Sciences of the United States of America 95, no. 2 (January 1998): 450–54. https://doi.org/10.1073/pnas.95.2.450.
    Full Text
  - McDonald, M. A., and S. Venakides. “Renormalization of the τ-functions for integrable systems: A model problem.” Communications on Pure and Applied Mathematics 51, no. 8 (January 1, 1998): 937–66. https://doi.org/10.1002/(SICI)1097-0312(199808)51:8<937::AID-CPA3>3.0.CO;2-6.
    Full Text
  - Deift, P., S. Venakides, and X. Zhou. “New Results in Small Dispersion KdV by an Extension of the Steepest Descent Method for Riemann-Hilbert Problems.” International Mathematics Research Notices, no. 6 (December 1, 1997): 284–99.
  - Deift, P., T. Kriecherbauer, K. T. R. McLaughlin, S. Venakides, and X. Zhou. “Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights.” International Mathematics Research Notices, no. 16 (December 1, 1997).
  - Bonilla, L. L., M. Kindelan, M. Moscoso, and S. Venakides. “Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices.” Siam Journal on Applied Mathematics 57, no. 6 (January 1, 1997): 1588–1614. https://doi.org/10.1137/S0036139995288885.
    Full Text
  - Deift, P., S. Venakides, and X. Zhou. “New results in small dispersion kdV by an extension of the steepest descent method for Riemann-Hilbert problems.” International Mathematics Research Notices, no. 6 (1997): 285–99.
    Link to Item
  - Deift, P., T. Kriecherbauer, K. T. R. McLaughlin, S. Venakides, and X. Zhou. “Asymptotics for polynomials orthogonal with respect to varying exponential weights.” International Mathematics Research Notices, no. 16 (1997): 759–82.
    Link to Item
  - Deift, P., T. Kriecherbauer, and S. Venakides. “Forced lattice vibrations: Part I.” Communications on Pure and Applied Mathematics 48, no. 11 (January 1, 1995): 1187–1249. https://doi.org/10.1002/cpa.3160481102.
    Full Text
  - Deift, P., T. Kriecherbauer, and S. Venakides. “Forced lattice vibrations: Part II.” Communications on Pure and Applied Mathematics 48, no. 11 (January 1, 1995): 1251–98. https://doi.org/10.1002/cpa.3160481103.
    Full Text
  - Bonilla, L. L., F. J. Higuera, and S. Venakides. “Gunn effect: Instability of the steady state and stability of the solitary wave in long extrinsic semiconductors.” Siam Journal on Applied Mathematics 54, no. 6 (January 1, 1994): 1521–41. https://doi.org/10.1137/S0036139992236554.
    Full Text
  - Deift, P., S. Venakides, and X. Zhou. “The collisionless shock region for the long‐time behavior of solutions of the KdV equation.” Communications on Pure and Applied Mathematics 47, no. 2 (January 1, 1994): 199–206. https://doi.org/10.1002/cpa.3160470204.
    Full Text
  - Zhang, T., and S. Venakides. “Periodic limit of inverse scattering.” Communications on Pure and Applied Mathematics 46, no. 6 (January 1, 1993): 819–65. https://doi.org/10.1002/cpa.3160460603.
    Full Text
  - Venakides, S., P. Deift, and R. Oba. “The toda shock problem.” Communications on Pure and Applied Mathematics 44, no. 8–9 (January 1, 1991): 1171–1242. https://doi.org/10.1002/cpa.3160440823.
    Full Text
  - Reed, M. C., S. Venakides, and J. J. Blum. “Approximate traveling waves in linear reaction-hyperbolic equations.” Siam Journal on Applied Mathematics 50, no. 1 (January 1, 1990): 167–80. https://doi.org/10.1137/0150011.
    Full Text
  - Venakides, S. “The korteweg‐de vries equation with small dispersion: Higher order lax‐levermore theory.” Communications on Pure and Applied Mathematics 43, no. 3 (January 1, 1990): 335–61. https://doi.org/10.1002/cpa.3160430303.
    Full Text
  - Venakides, S. “The continuum limit of theta functions.” Communications on Pure and Applied Mathematics 42, no. 6 (January 1, 1989): 711–28. https://doi.org/10.1002/cpa.3160420602.
    Full Text
  - Venakides, S. “The infinite period limit of the inverse formalism for periodic potentials.” Communications on Pure and Applied Mathematics 41, no. 1 (January 1, 1988): 3–17. https://doi.org/10.1002/cpa.3160410103.
    Full Text
  - Venakides, S. “The Zero Dispersion Limit of the Korteweg-Devries Equation with Periodic Initial Data.” Transactions of the American Mathematical Society 301, no. 1 (May 1987): 189–226. https://doi.org/10.2307/2000334.
    Full Text Link to Item
  - Venakides, S. “The zero dispersion limit of the korteweg-de vries equation with periodic initial data.” Transactions of the American Mathematical Society 301, no. 1 (January 1, 1987): 189–226. https://doi.org/10.1090/S0002-9947-1987-0879569-7.
    Full Text
  - Venakides, S. “Long time asymptotics of the korteweg-de vries equation.” Transactions of the American Mathematical Society 293, no. 1 (January 1, 1986): 411–19. https://doi.org/10.1090/S0002-9947-1986-0814929-0.
    Full Text
  - Venakides, S. “Long-Time Asymptotics of the Korteweg-Devries Equation.” Transcations of the American Mathematical Society 293, no. 1 (January 1986): 411–19. https://doi.org/10.2307/2000288.
    Full Text Link to Item
  - Venakides, S. “The generation of modulated wavetrains in the solution of the Korteweg—de vries equation.” Communications on Pure and Applied Mathematics 38, no. 6 (January 1, 1985): 883–909. https://doi.org/10.1002/cpa.3160380616.
    Full Text
  - Venakides, S. “The zero dispersion limit of the korteweg‐de vries equation for initial potentials with non‐trivial reflection coefficient.” Communications on Pure and Applied Mathematics 38, no. 2 (January 1, 1985): 125–55. https://doi.org/10.1002/cpa.3160380202.
    Full Text
  - Belov, Sergey, and Stephanos Venakides. “Perturbation of Riemann-Hilbert jump contours: smooth parametric dependence with application to semiclassical focusing NLS,” n.d.
    Link to Item
  - Deift, Percy, Thomas Kriecherbauer, and Stephanos Venakides. “Forced Lattice Vibrations -- A Videotext,” n.d.
    Link to Item
- Conference Papers
  - Tovbis, A., S. Venakides, and X. Zhou. “Semiclassical Focusing Nonlinear Schrodinger equation in the pure radiation case: Riemann-Hilbert Problem approach.” In Integrable Systems and Random Matrices: In Honor of Percy Deift, 458:117–44, 2008.
    Link to Item
  - Buckingham, R., A. Tovbis, S. Venakides, and X. Zhou. “The semiclassical focusing nonlinear Schrodinger equation.” In Recent Advances in Nonlinear Partial Differential Equations and Applications, 65:47–80, 2007.
    Link to Item
  - Peralta, X. G., Y. Toyama, A. Wells, Y. Tokutake, M. S. Hutson, S. Venakides, D. P. Kiehart, and G. S. Edwards. “Force regulation during dorsal closure in Drosophila.” In Molecular Biology of the Cell, 15:403A-403A. American Society for Cell Biology, 2004.
    Link to Item
  - Hutson, S., Y. Tokutake, M. Chang, J. W. Bloor, S. Venakides, D. P. Kiehart, and G. S. Edwards. “Measuring the forces that drive morphogenesis: Laser-microsurgery and quantitative modeling applied to dorsal closure in Drosophila.” In Molecular Biology of the Cell, 13:476A-476A. American Society for Cell Biology, 2002.
    Link to Item
  - Reed, D., and S. Venakides. “Studying the asymptotics of Selberg-type integrals.” In Applied and Industrial Mathematics, Venice 2, 1998, 187–98, 2000.
    Link to Item
  - Venakides, S. “The Korteweg-Devries Equation with Small Dispersion - Higher-Order Lax Levermore Theory.” In Journal of Applied and Industrial Mathematics, 56:255–62, 1991.
    Link to Item
  - Venakides, S. “The Small Dispersion Limit of the Korteweg-Devries Equation.” In Differential Equations, 118:725–37, 1989.
    Link to Item
Teaching & Mentoring
Recent Courses
Scholarly, Clinical, & Service Activities
Presentations & Appearances
Service to the Profession
Service to Duke
- Applied ARP hiring committee. December 2018 - February 2019 2018 - 2019

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.

Education, Training, & Certifications

Duke Appointment History

Academic Positions Outside Duke

Selected Grants

Selected Publications

Academic Articles

Conference Papers

Recent Courses

Presentations & Appearances

Service to the Profession

Service to Duke