Scholars@Duke

• 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
  • (95-0206) Dispersive Shocks in Continuous and Discrete Media awarded by  National Science Foundation 1995 - 1999
  • (97-0433) Propagation of Waves in Optical and Photonic Media awarded by Army Research Office 1996 - 1998
  • (96-0451) Propagation of Waves in Optical and Photonic Media awarded by Army Research Office 1996 - 1997
  • (94-0403) The Generation and Propagation of Dispersive Oscillations in Non-linear Systems awarded by Army Research Office 1992 - 1995
  • (95-0304) The Generation of Dispersive Oscillations In Non-linear Systems awarded by Army Research Office 1992 - 1995
  • (94-0068) Generation and Propagation of Dispersive Waves in Integrable Systems awarded by  National Science Foundation 1991 - 1994
  • (92-0774) The Generation and Propagation of Dispersive Oscillations in Non-Linear Systems awarded by Army Research Office 1992 - 1993
  • (92-0859) Generation and Propagation of Dispensive Waves in Integrable Systems awarded by  National Science Foundation 1991 - 1993
  • (91-0237) Generations and Propagation of Dispersive Waves in Integrable Systems awarded by  National Science Foundation 1991 - 1992
  • (92-0411) Dispersive Regularization of Shocks awarded by Army Research Office 1991 - 1992
  • (91-0508) Dispersive Regularization of Shocks awarded by Army Research Office 1991
  • (89-0480) Nonlinear Oscillations/ Completely Integrable Systems awarded by  National Science Foundation 1987 - 1990
  • (88-0164) Nonlinear Oscillations/ Completely Integrable Systems awarded by  National Science Foundation 1987 - 1989
  • (87-0215) Nonlinear Oscillations/ Completely Integrable Systems awarded by  National Science Foundation 1987 - 1988
• Publications & Artistic Works
• 

  Selected Publications

  • Academic Articles

    • Aristotelous, AC, Crawford, JM, Edwards, GS, Kiehart, DP, and Venakides, S. "Mathematical models of dorsal closure." Progress in Biophysics and Molecular Biology 137 (September 2018): 111-131. (Review)  Full Text
    • Venakides, S, Komineas, S, and Melcher, C. "Traveling domain walls in chiral ferromagnets(Submitted)." Nonlinearity (June 6, 2018).
    • Perez-Arancibia, C, Shipman, S, Turc, C, and Venakides, S. "DDM solutions of quasiperiodic transmission problems in layered media via robust boundary integral equations at all frequencies(Accepted)." Communications in Computational Physics (May 25, 2018).
    • Bruno, OP, Shipman, SP, Turc, C, and Stephanos, V. "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-null.  Full Text
    • Kiehart, DP, Crawford, JM, Aristotelous, A, Venakides, S, and Edwards, GS. "Cell Sheet Morphogenesis: Dorsal Closure in Drosophila melanogaster as a Model System." Annual Review of Cell and Developmental Biology 33 (October 2017): 169-202. (Review)  Full Text
    • Bruno, OP, Shipman, SP, Turc, C, and Venakides, S. "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).  Full Text
    • Komineas, S, Shipman, SP, and Venakides, S. "Lossless polariton solitons." Physica D: Nonlinear Phenomena 316 (February 15, 2016): 43-56.  Full Text
    • Komineas, S, Shipman, SP, and Venakides, S. "Continuous and discontinuous dark solitons in polariton condensates." Physical Review B Condensed Matter and Materials Physics 91, no. 13 (April 9, 2015).  Full Text
    • Belov, S, and Venakides, S. "Long-time limit studies of an obstruction in the g-function mechanism for semiclassical focusing NLS." (2015).  Link to Item
    • Belov, S, and Venakides, S. "Smooth parametric dependence of asymptotics of the semiclassical focusing NLS." Analysis and Pde 8, no. 2 (January 1, 2015): 257-288.  Full Text
    • Jackson, AD, Huang, D, Gauthier, DJ, and Venakides, S. "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): 1281-1290.  Full Text
    • Shipman, SP, and Venakides, S. "An exactly solvable model for nonlinear resonant scattering." Nonlinearity 25, no. 9 (September 1, 2012): 2473-2501.  Full Text
    • Tovbis, A, and Venakides, S. "Semiclassical limit of the scattering transform for the focusing nonlinear Schrödinger equation." International Mathematics Research Notices 2012, no. 10 (May 21, 2012): 2212-2271.  Full Text
    • Tovbis, A, and Venakides, S. "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): 139-160.  Full Text
    • Layton, AT, Toyama, Y, Yang, G-Q, Edwards, GS, Kiehart, DP, and Venakides, S. "Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure." Hfsp Journal 3, no. 6 (December 15, 2009): 441-460.  Full Text
    • Lefew, WR, Venakides, S, and Gauthier, DJ. "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).  Full Text
    • Tovbis, A, and Venakides, S. "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): 2056-2080.  Full Text
    • Tovbis, A, and Venakides, S. "Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation." (2009).  Link to Item
    • Ptitsyna, N, Shipman, SP, and Venakides, S. "Fano resonance of waves in periodic slabs." Mathematical Methods in Electromagnetic Theory, Mmet, Conference Proceedings (September 19, 2008): 73-78.  Full Text
    • Tovbis, A, Venakides, S, and Zhou, X. "Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data." International Mathematics Research Notices 2007 (December 1, 2007).  Full Text
    • Buckingham, R, and Venakides, S. "Long-time asymptotics of the nonlinear Schrödinger equation shock problem." Communications on Pure and Applied Mathematics 60, no. 9 (September 1, 2007): 1349-1414.  Full Text
    • Peralta, XG, Toyama, Y, Hutson, MS, Montague, R, Venakides, S, Kiehart and, DP, and Edwards, GS. "Resiliency, coordination, and synchronization of dorsal closure during Drosophila morphogenesis." Biophysical Journal 92 (April 2007): 2583-2596. (Academic Article)
    • Peralta, XG, Toyama, Y, Hutson, MS, Montague, R, Venakides, S, Kiehart, DP, and Edwards, GS. "Upregulation of forces and morphogenic asymmetries in dorsal closure during Drosophila development." Biophysical Journal 92, no. 7 (April 2007): 2583-2596.  Full Text
    • Tovbis, A, Venakides, S, and Zhou, X. "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 (October 1, 2006): 1379-1432.  Full Text
    • Shipman, SP, and Venakides, S. "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-null.  Full Text  Open Access Copy
    • Tovbis, A, Venakides, S, and Zhou, X. "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.  Full Text
    • Lipton, RP, Shipman, SP, and Venakides, S. "Optimization of Resonances in Photonic Crystal Slabs." Proceedings of Spie the International Society for Optical Engineering 5184 (December 1, 2003): 168-177.
    • Shipman, SP, and Venakides, S. "Resonance and bound states in photonic crystal slabs." Siam Journal on Applied Mathematics 64, no. 1 (October 1, 2003): 322-342.  Full Text
    • Hutson, MS, Tokutake, Y, Chang, M-S, Bloor, JW, Venakides, S, Kiehart, DP, and Edwards, GS. "Forces for morphogenesis investigated with laser microsurgery and quantitative modeling." Science (New York, N.Y.) 300, no. 5616 (April 2003): 145-149.  Full Text
    • Haider, MA, Shipman, SP, and Venakides, S. "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): 2129-2148.  Full Text
    • El, GA, Krylov, AL, and Venakides, S. "Unified approach to KdV modulations." Communications on Pure and Applied Mathematics 54, no. 10 (October 1, 2001): 1243-1270.  Full Text
    • Deift, P, Kriecherbauer, T, McLaughlin, KR, Venakides, S, and Zhou, X. "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.  Full Text
    • El, GA, Krylov, AL, Molchanov, SA, and Venakides, S. "Soliton turbulence as a thermodynamic limit of stochastic soliton lattices." Physica D: Nonlinear Phenomena 152-153 (May 15, 2001): 653-664.  Full Text
    • Georgieva, A, Kriecherbauer, T, and Venakides, S. "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): 1802-1815.  Full Text
    • Tovbis, A, and Venakides, S. "The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases." Physica D: Nonlinear Phenomena 146, no. 1-4 (November 15, 2000): 150-164.  Full Text
    • Venakides, S, Haider, MA, and Papanicolaou, V. "Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures." Siam Journal on Applied Mathematics 60, no. 5 (May 1, 2000): 1686-1706.
    • VENAKIDES, S. "Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabri-Peror structures." Siam J. Appl. Math. 60 (2000): 1686-1706.  Full Text
    • Beaky, MM, Burk, JB, Everitt, HO, Haider, MA, and Venakides, S. "Two-dimensional photonic crystal fabry-perot resonators with lossy dielectrics." Ieee Transactions on Microwave Theory and Techniques 47, no. 11 (December 1, 1999): 2085-2091.  Full Text
    • Filip, AM, and Venakides, S. "Existence and modulation of traveling waves in particle chains." Communications on Pure and Applied Mathematics 52, no. 6 (June 1, 1999): 693-735.
    • Cheng, PJ, Venakides, S, and Zhou, X. "Long-time asymptotics for the pure radiation solution of the sine—gordon equation." Communications in Partial Differential Equations 24, no. 7-8 (January 1999): 1195-1262.  Full Text
    • Deift, P, Kriecherbauer, T, McLaughlin, KTR, Venakides, S, and Zhou, X. "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.  Full Text
    • Deift, P, Kriecherbauer, T, Mclaughlin, KTR, Venakides, S, and Zhou, X. "Strong asymptotics of orthogonal polynomials with respect to exponential weights." Communications on Pure and Applied Mathematics 52, no. 12 (January 1, 1999): 1491-1552.  Full Text
    • Georgieva, A, Kriecherbauer, T, and Venakides, S. "Wave Propagation and Resonance in a One-Dimensional Nonlinear Discrete Periodic Medium." Siam Journal on Applied Mathematics 60, no. 1 (January 1999): 272-294.  Full Text
    • Deift, P, Venakides, S, and Zhou, X. "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): 450-454.  Full Text
    • McDonald, MA, and Venakides, S. "Renormalization of the τ-functions for integrable systems: A model problem." Communications on Pure and Applied Mathematics 51, no. 8 (January 1, 1998): 937-966.  Full Text
    • Deift, P, Kriecherbauer, T, McLaughlin, KTR, Venakides, S, and Zhou, X. "Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights." International Mathematics Research Notices , no. 16 (December 1, 1997).
    • Deift, P, Venakides, S, and Zhou, X. "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): 284-299.
    • Bonilla, LL, Kindelan, M, Moscoso, M, and Venakides, S. "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.  Full Text
    • Deift, P, Kriecherbauer, T, McLaughlin, KTR, Venakides, S, and Zhou, X. "Asymptotics for polynomials orthogonal with respect to varying exponential weights." International Mathematics Research Notices , no. 16 (January 1, 1997): 759-782. (Academic Article)  Link to Item
    • Deift, P, Venakides, S, and Zhou, X. "New results in small dispersion kdV by an extension of the steepest descent method for Riemann-Hilbert problems." International Mathematics Research Notices , no. 6 (January 1, 1997): 285-299. (Academic Article)  Link to Item
    • Deift, P, Kriecherbauer, T, and Venakides, S. "Forced lattice vibrations: Part I." Communications on Pure and Applied Mathematics 48, no. 11 (January 1, 1995): 1187-1249.  Full Text
    • Deift, P, Kriecherbauer, T, and Venakides, S. "Forced lattice vibrations: Part II." Communications on Pure and Applied Mathematics 48, no. 11 (January 1, 1995): 1251-1298.  Full Text
    • Bonilla, LL, Higuera, FJ, and Venakides, S. "The 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 (December 1994): 1521-1541.  Full Text
    • Deift, P, Venakides, S, and Zhou, X. "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.  Full Text
    • Zhang, T, and Venakides, S. "Periodic limit of inverse scattering." Communications on Pure and Applied Mathematics 46, no. 6 (July 1993): 819-865.  Full Text
    • Venakides, S, Deift, P, and Oba, R. "The toda shock problem." Communications on Pure and Applied Mathematics 44, no. 8-9 (January 1, 1991): 1171-1242.  Full Text
    • Reed, MC, Venakides, S, and Blum, JJ. "Approximate traveling waves in linear reaction-hyperbolic equations." Siam Journal on Applied Mathematics 50, no. 1 (January 1, 1990): 167-180.  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): 335-361.  Full Text
    • Venakides, S. "The continuum limit of theta functions." Communications on Pure and Applied Mathematics 42, no. 6 (January 1, 1989): 711-728.  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.  Full Text
    • 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 (May 1987): 189-189.  Full Text
    • 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.  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): 411-419.  Full Text
    • Venakides, S. "Long Time Asymptotics of the Korteweg-de Vries Equation." Transactions of the American Mathematical Society 293, no. 1 (January 1986): 411-411.  Full Text
    • 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.  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): 125-155.  Full Text
    • Belov, S, and Venakides, S. "Perturbation of Riemann-Hilbert jump contours: smooth parametric dependence with application to semiclassical focusing NLS." .  Link to Item
    • Deift, P, Kriecherbauer, T, and Venakides, S. "Forced Lattice Vibrations -- A Videotext." .  Link to Item
    • Perez-Arancibia, C, Shipman, SP, Turc, C, and Venakides, S. "Domain decomposition for quasi-periodic scattering by layered media via robust boundary-integral equations at all frequencies(In preparation)." .

  • Conference Papers

    • Tovbis, A, Venakides, S, and Zhou, X. "Semiclassical Focusing Nonlinear Schrodinger equation in the pure radiation case: Riemann-Hilbert Problem approach." 2008.  Link to Item
    • Buckingham, R, Tovbis, A, Venakides, S, and Zhou, X. "The semiclassical focusing nonlinear Schrodinger equation." 2007.  Link to Item
    • Peralta, XG, Toyama, Y, Wells, A, Tokutake, Y, Hutson, MS, Venakides, S, Kiehart, DP, and Edwards, GS. "Force regulation during dorsal closure in Drosophila." Annual Meeting of the American-Society-for-Cell-Biology. Washington, DC. December 4, 2004 - December 8, 2004.: AMER SOC CELL BIOLOGY, November 1, 2004.  Link to Item
    • Hutson, S, Tokutake, Y, Chang, M, Bloor, JW, Venakides, S, Kiehart, DP, and Edwards, GS. "Measuring the forces that drive morphogenesis: Laser-microsurgery and quantitative modeling applied to dorsal closure in Drosophila." : American Society for Cell Biology, November 2002.  Link to Item
    • Reed, D, and Venakides, S. "Studying the asymptotics of Selberg-type integrals." Venice-2/Symposium on Applied and Industrial Mathematics. VENICE, ITALY. June 11, 1998 - June 16, 1998.: SPRINGER, January 1, 2000.  Link to Item
    • VENAKIDES, S. "THE KORTEWEG-DEVRIES EQUATION WITH SMALL DISPERSION - HIGHER-ORDER LAX LEVERMORE THEORY." 1ST VENICE SYMP ON APPLIED AND INDUSTRIAL MATHEMATICS. VENICE, ITALY. October 2, 1989 - October 6, 1989.: KLUWER ACADEMIC PUBL, January 1, 1991.  Link to Item
    • VENAKIDES, S. "THE SMALL DISPERSION LIMIT OF THE KORTEWEG-DEVRIES EQUATION." CONF ON DIFFERENTIAL EQUATIONS ( EQUADIFF 87 ). DEMOCRITUS UNIV THRACE, XANTHI, GREECE. August 1987.: MARCEL DEKKER, January 1, 1989.  Link to Item
• Teaching & Mentoring
• 

  Recent Courses

  • MATH 453: Introduction to Partial Differential Equations 2019
  • MATH 754: Introduction to Partial Differential Equations 2019
  • MATH 790-90: Minicourse in Advanced Topics 2019
  • MATH 353: Ordinary and Partial Differential Equations 2018
  • MATH 753: Ordinary and Partial Differential Equations 2018
• Scholarly, Clinical, & Service Activities
• 

  Presentations & Appearances

  • Overview and calculation of dispersive phenomena in integrable systems. Seminar talk. RWTH Aachen University Department of Mathematics. June 15, 2018 - June 15, 2018  2018
  • Integrable PDE with small dispersion. Workshop: PDEs in Physics and Material Sciences. University of Crete. May 10, 2018 - May 16, 2018  2018
  • Lossless Polariton Solitons. Challenges in Nonlinear Systems. Universidad Carlos III de Madrid. July 2017 - July 7, 2017  2017
  • Universality formulae for resonant scattering by open periodic waveguides. PDEs in Physics and Material Sciences. Institute of Applied and Computational Mathematics, FORTH, Crete, Greece. June 12, 2017 - June 14, 2017  2017
  • Abel lecturer . Abel Prize award to Peter Lax. The Norwegian Academy of Science and Letters. May 2005  2005
• 

  Service to the Profession

  • Panelist. Applied PDE Panel. NSF. 2018 - 2018  2018
  • Committee chair : Review Committee of the Department of Mathematics of the University of Athens, Greece. December 18, 2012  2012
  • Panelist, three times since 2008. NSF Grant Review Panel in Applied Mathematics. National Science Foundation. 2008  2008
• 

  Service to Duke

  • Applied ARP hiring committee. December 2018 - February 2019  2018 - 2019

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