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Publications of Stephanos Venakides    :chronological  alphabetical  combined  bibtex listing:

Papers Published

  1. Aristotelous, AC; Crawford, JM; Edwards, GS; Kiehart, DP; Venakides, S, Mathematical models of dorsal closure., Progress in Biophysics and Molecular Biology, vol. 137 (September, 2018), pp. 111-131 [doi]  [abs]
  2. Perez-Arancibia, C; Shipman, S; Turc, C; Venakides, S, DDM solutions of quasiperiodic transmission problems in layered media via robust boundary integral equations at all frequencies (December, 2017)
  3. Bruno, OP; Shipman, SP; Turc, C; Venakides, S, Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies, Proceedings. Mathematical, Physical, and Engineering Sciences, vol. 473 no. 2207 (November, 2017) [doi]  [abs]
  4. Kiehart, DP; Crawford, JM; Aristotelous, A; Venakides, S; Edwards, GS, Cell Sheet Morphogenesis: Dorsal Closure in Drosophila melanogaster as a Model System., Annual Review of Cell and Developmental Biology, vol. 33 (October, 2017), pp. 169-202 [doi]  [abs]
  5. Sergey Belov and Stephanos Venakides, Smooth parametric dependence of asymptotics of the semiclassical focusing NLS, Analysis & PDE, vol. 8 no. 2 (April, 2015), pp. 257-288 [doi]  [abs]
  6. Komineas, S; Shipman, SP; Venakides, S, Continuous and discontinuous dark solitons in polariton condensates, Physical Review B, vol. 91 no. 13 (April, 2015), ISSN 1098-0121 [doi]  [abs]
  7. Belov, S; Venakides, S, Smooth parametric dependence of asymptotics of the semiclassical focusing NLS, Analysis and PDE, vol. 8 no. 2 (January, 2015), pp. 257-288 [1211.7111v2], [doi]  [abs]
  8. Oscar P. Bruno, Stephen P. Shipman, Catalin Turc, Stephanos Venakides, Efficient Evaluation of Doubly Periodic Green Functions in 3D Scattering, Including Wood Anomaly Frequencies, ArXiv>Mathematics > Analysis of PDEs (July 4, 2013) [arXiv:1307.1176]  [abs]
  9. Jackson, AD; Huang, D; Gauthier, DJ; Venakides, S, Destructive impact of imperfect beam collimation in extraordinary optical transmission, Journal of the Optical Society of America A, vol. 30 no. 6 (June, 2013), pp. 1281-1290, ISSN 1084-7529 (doi: 10.1364/JOSAA.30.001281..) [doi]  [abs]
  10. Shipman, SP; Venakides, S, An exactly solvable model for nonlinear resonant scattering, Nonlinearity, vol. 25 no. 9 (2012), pp. 2473-2501, ISSN 0951-7715 (doi:10.1088/0951-7715/25/9/2473.) [doi]  [abs]
  11. Tovbis, A; Venakides, S, Semiclassical limit of the scattering transform for the focusing nonlinear Schrödinger equation, International Mathematics Research Notices, vol. 2012 no. 10 (2012), pp. 2212-2271, ISSN 1073-7928 (doi:10.1093/imrn/rnr092.) [doi]  [abs]
  12. Tovbis, A; Venakides, S, Nonlinear steepest descent asymptotics for semiclassical limit of Integrable systems: Continuation in the parameter space, Communications in Mathematical Physics, vol. 295 no. 1 (2010), pp. 139-160, ISSN 0010-3616 [doi]  [abs]
  13. Layton, AT; Toyama, Y; Yang, G-Q; Edwards, GS; Kiehart, DP; Venakides, S, Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure., HFSP Journal, vol. 3 no. 6 (December, 2009), pp. 441-460, HFSP [20514134], [doi]  [abs]
  14. Tovbis, A; Venakides, S, Determinant form of modulation equations for the semiclassical focusing Nonlinear Schr\" odinger equation (2009)  [abs]
  15. Tovbis, A; 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, vol. 2009 no. 11 (2009), pp. 2056-2080, ISSN 1073-7928 [doi]  [abs]
  16. Lefew, WR; Venakides, S; Gauthier, DJ, Accurate description of optical precursors and their relation to weak-field coherent optical transients, Physical Review A, vol. 79 no. 6 (2009), pp. 063842, ISSN 1050-2947 [doi]  [abs]
  17. Tovbis, A; Venakides, S; Zhou, X, Semiclassical Focusing Nonlinear Schrodinger equation in the pure radiation case: Riemann-Hilbert Problem approach, Surveys on Discrete and Computational Geometry: Twenty Years Later, vol. 458 (2008), pp. 117-144, ISBN 978-0-8218-4240-9
  18. Peralta, XG; Toyama, Y; Hutson, MS; Montague, R; Venakides, S; Kiehart and, DP; Edwards, GS, Resiliency, coordination, and synchronization of dorsal closure during Drosophila morphogenesis, Biophysical Journal, vol. 92 no. 7 (April, 2007), pp. 2583-2596, ISSN 0006-3495 [17218455], [doi]  [abs]
  19. Peralta, XG; Toyama, Y; Hutson, MS; Montague, R; Venakides, S; Kiehart, DP; Edwards, GS, Upregulation of forces and morphogenic asymmetries in dorsal closure during Drosophila development., Biophysical Journal, vol. 92 no. 7 (April, 2007), pp. 2583-2596, ISSN 0006-3495 [17218455], [doi]  [abs]
  20. Buckingham, R; Venakides, S, Long-time asymptotics of the nonlinear Schrödinger equation shock problem, Communications on Pure and Applied Mathematics, vol. 60 no. 9 (2007), pp. 1349-1414, ISSN 0010-3640 [MR2337507], [doi]  [abs]
  21. Tovbis, A; Venakides, S; Zhou, X, Semiclassical focusing nonlinear schrödinger equation i: Inverse scattering map and its evolution for radiative initial data, International Mathematics Research Notices, vol. 2007 no. Article ID rnm094, 54 pages. doi:10. (2007), ISSN 1073-7928 [doi]  [abs]
  22. Buckingham, R; Tovbis, A; Venakides, S; Zhou, X, The semiclassical focusing nonlinear Schrodinger equation, in "Recent Advances in Nonlinear Partial Differentila Equations and Applications'', Proceedings of Symposia in Applied Mathematics, edited by L.L. Bonilla, A. Carpio, J.M. Vega, S. Venakides, Recent Advances in Nonlinear Partial Differential Equations and Applications, vol. 65 (2007), pp. 47-80, American Mathematical Society, ISBN 978-0-8218-4211-9
  23. Tovbis, A; Venakides, S; 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, vol. 59 no. 10 (2006), pp. 1379-1432, ISSN 0010-3640 [MR2248894], [doi]  [abs]
  24. Shipman, SP; Venakides, S, Resonant transmission near nonrobust periodic slab modes., Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 71 no. 2 Pt 2 (2005), pp. 026611, ISSN 1539-3755 [15783445], [doi]  [abs]
  25. Peralta, XG; Toyama, Y; Wells, A; Tokutake, Y; Hutson, MS; Venakides, S; Kiehart, DP; Edwards, GS, Force regulation during dorsal closure in Drosophila, Molecular Biology of the Cell, vol. 15 (November, 2004), pp. 403A-403A, American Society for Cell Biology
  26. Tovbis, A; Venakides, S; Zhou, X, On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation, Communications on Pure and Applied Mathematics, vol. 57 no. 7 (2004), pp. 877-985, ISSN 0010-3640 [MR2044068 (2005c:35269)], [doi]  [abs]
  27. Hutson, MS; Tokutake, Y; Chang, M-S; Bloor, JW; Venakides, S; Kiehart, DP; Edwards, GS, Forces for morphogenesis investigated with laser microsurgery and quantitative modeling., Science (New York, N.Y.), vol. 300 no. 5616 (April, 2003), pp. 145-149 [12574496], [doi]  [abs]
  28. Lipton, RP; Shipman, SP; Venakides, S, Optimization of Resonances in Photonic Crystal Slabs, Proceedings of SPIE - The International Society for Optical Engineering, vol. 5184 (2003), pp. 168-177  [abs]
  29. Shipman, SP; Venakides, S, Resonance and bound states in photonic crystal slabs, Siam Journal on Applied Mathematics, vol. 64 no. 1 (2003), pp. 322-342, ISSN 0036-1399 [doi]  [abs]
  30. Hutson, S; Tokutake, Y; Chang, M; Bloor, JW; Venakides, S; Kiehart, DP; Edwards, GS, Measuring the forces that drive morphogenesis: Laser-microsurgery and quantitative modeling applied to dorsal closure in Drosophila, Molecular Biology of the Cell, vol. 13 (November, 2002), pp. 476A-476A, American Society for Cell Biology
  31. Haider, MA; Shipman, SP; Venakides, S, Boundary-integral calculations of two-dimensional electromagnetic scattering in infinite photonic crystal slabs: Channel defects and resonances, SIAM Journal on Applied Mathematics, vol. 62 no. 6 (2002), pp. 2129-2148 [doi]  [abs]
  32. Georgieva, A; Kriecherbauer, T; Venakides, S, 1:2 resonance mediated second harmonic generation in a 1-D nonlinear discrete periodic medium, SIAM Journal on Applied Mathematics, vol. 61 no. 5 (2001), pp. 1802-1815 [doi]  [abs]
  33. El, GA; Krylov, AL; Venakides, S, Unified approach to KdV modulations, Communications on Pure and Applied Mathematics, vol. 54 no. 10 (2001), pp. 1243-1270 [doi]  [abs]
  34. El, GA; Krylov, AL; Molchanov, SA; Venakides, S, Soliton turbulence as a thermodynamic limit of stochastic soliton lattices, Physica D: Nonlinear Phenomena, vol. 152-153 (2001), pp. 653-664 [doi]  [abs]
  35. Deift, P; Kriecherbauer, T; McLaughlin, K-R; Venakides, S; Zhou, X, A riemann-Hilbert approach to asymptotic questions for orthogonal polynomials, Journal of Computational and Applied Mathematics, vol. 133 no. 1-2 (2001), pp. 47-63, ISSN 0377-0427 [doi]  [abs]
  36. Venakides, S; Haider, MA; Papanicolaou, V, Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabry-Perot structures, SIAM Journal on Applied Mathematics, vol. 60 no. 5 (2000), pp. 1686-1706  [abs]
  37. Tovbis, A; Venakides, S, The eigenvalue problem for the focusing nonlinear Schrödinger equation: New solvable cases, Physica D: Nonlinear Phenomena, vol. 146 no. 1-4 (2000), pp. 150-164 [doi]  [abs]
  38. Reed, D; Venakides, S, Studying the asymptotics of Selberg-type integrals, Applied and Industrial Mathematics, Venice-2, 1998 (2000), pp. 187-198, ISBN 0-7923-6152-0
  39. VENAKIDES, S, Boundary integral calculations of two-dimensional electromagnetic scattering by photonic crystal Fabri-Peror structures, SIAM J. Appl. Math., vol. 60 (2000), pp. 1686-1706 [doi]
  40. Deift, P; Kriecherbauer, T; McLaughlin, KT-R; Venakides, S; 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, vol. 52 no. 11 (November, 1999), pp. 1335-1425 [doi]  [abs]
  41. Deift, P; Kriecherbauer, T; Mclaughlin, KTR; Venakides, S; Zhou, X, Strong asymptotics of orthogonal polynomials with respect to exponential weights, Communications on Pure and Applied Mathematics, vol. 52 no. 12 (January, 1999), pp. 1491-1552 [doi]  [abs]
  42. Beaky, MM; Burk, JB; Everitt, HO; Haider, MA; Venakides, S, Two-dimensional photonic crystal fabry-perot resonators with lossy dielectrics, Ieee Transactions on Microwave Theory and Techniques, vol. 47 no. 11 (1999), pp. 2085-2091, ISSN 0018-9480 [doi]  [abs]
  43. Filip, A-M; Venakides, S, Existence and modulation of traveling waves in particle chains, Communications on Pure and Applied Mathematics, vol. 52 no. 6 (1999), pp. 693-735  [abs]
  44. Cheng, P-J; Venakides, S; Zhou, X, Long-time asymptotics for the pure radiation solution of the sine-Gordon equation, Communications in Partial Differential Equations, vol. 24 no. 7-8 (1999), pp. 1195-1262
  45. Georgieva, A; Kriecherbauer, T; Venakides, S, Wave propagation and resonance in a one-dimensional nonlinear discrete periodic medium, SIAM Journal on Applied Mathematics, vol. 60 no. 1 (1999), pp. 272-294  [abs]
  46. Deift, P; Venakides, S; 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, vol. 95 no. 2 (January, 1998), pp. 450-454, ISSN 0027-8424 [11038618]  [abs]
  47. McDonald, MA; Venakides, S, Renormalization of the τ-functions for integrable systems: A model problem, Communications on Pure and Applied Mathematics, vol. 51 no. 8 (January, 1998), pp. 937-966 [doi]  [abs]
  48. Deift, P; Kriecherbauer, T; McLaughlin, KT-R; Venakides, S; Zhou, X, Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights, International Mathematics Research Notices no. 16 (1997), pp. X-782
  49. Deift, P; Venakides, S; 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 (1997), pp. 284-299
  50. Bonilla, LL; Kindelan, M; Moscoso, M; Venakides, S, Periodic generation and propagation of traveling fronts in dc voltage biased semiconductor superlattices, SIAM Journal on Applied Mathematics, vol. 57 no. 6 (1997), pp. 1588-1614  [abs]
  51. Deift, P; Venakides, S; 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 (1997), pp. 285-299, Oxford University Press (OUP): Policy B - Oxford Open Option A
  52. Deift, P; Kriecherbauer, T; McLaughlin, KTR; Venakides, S; Zhou, X, Asymptotics for polynomials orthogonal with respect to varying exponential weights, International Mathematics Research Notices no. 16 (1997), pp. 759-782, Oxford University Press (OUP): Policy B - Oxford Open Option A
  53. Deift, P; Kriecherbauer, T; Venakides, S, Forced lattice vibrations: Part I, Communications on Pure and Applied Mathematics, vol. 48 no. 11 (January, 1995), pp. 1187-1249 [doi]  [abs]
  54. Deift, P; Kriecherbauer, T; Venakides, S, Forced lattice vibrations: Part II, Communications on Pure and Applied Mathematics, vol. 48 no. 11 (January, 1995), pp. 1251-1298 [doi]  [abs]
  55. DEIFT, P; VENAKIDES, S; ZHOU, X, THE COLLISIONLESS SHOCK REGION FOR THE LONG-TIME BEHAVIOR OF SOLUTIONS OF THE KDV EQUATION, Communications on Pure and Applied Mathematics, vol. 47 no. 2 (February, 1994), pp. 199-206 [doi]  [abs]
  56. Bonilla, LL; Higuera, FJ; Venakides, S, Gunn effect: Instability of the steady state and stability of the solitary wave in long extrinsic semiconductors, SIAM Journal on Applied Mathematics, vol. 54 no. 6 (1994), pp. 1521-1541  [abs]
  57. Zhang, T; Venakides, S, Periodic limit of inverse scattering, Communications on Pure and Applied Mathematics, vol. 46 no. 6 (January, 1993), pp. 819-865 [doi]  [abs]
  58. Venakides, S; Deift, P; Oba, R, The toda shock problem, Communications on Pure and Applied Mathematics, vol. 44 no. 8-9 (January, 1991), pp. 1171-1242 [doi]
  59. Venakides, S, The Korteweg-Devries Equation with Small Dispersion - Higher-Order Lax Levermore Theory, Journal of Applied and Industrial Mathematics, vol. 56 (1991), pp. 255-262, ISBN 0-7923-0521-3
  60. Venakides, S, The korteweg‐de vries equation with small dispersion: Higher order lax‐levermore theory, Communications on Pure and Applied Mathematics, vol. 43 no. 3 (January, 1990), pp. 335-361 [doi]
  61. Reed, MC; Venakides, S; Blum, JJ, Approximate traveling waves in linear reaction-hyperbolic equations, SIAM Journal on Applied Mathematics, vol. 50 no. 1 (1990), pp. 167-180  [abs]
  62. Venakides, S, The continuum limit of theta functions, Communications on Pure and Applied Mathematics, vol. 42 no. 6 (January, 1989), pp. 711-728 [doi]
  63. Venakides, S, The Small Dispersion Limit of the Korteweg-Devries Equation, Differential Equations, vol. 118 (1989), pp. 725-737, ISBN 0-8247-8077-9
  64. Venakides, S, The infinite period limit of the inverse formalism for periodic potentials, Communications on Pure and Applied Mathematics, vol. 41 no. 1 (January, 1988), pp. 3-17 [doi]
  65. Venakides, S, The Zero Dispersion Limit of the Korteweg-Devries Equation with Periodic Initial Data, Transactions of the American Mathematical Society, vol. 301 no. 1 (May, 1987), pp. 189-226, American Mathematical Society [doi]
  66. Venakides, S, The zero dispersion limit of the Korteweg-de Vries equation with periodic initial data, Transactions of the American Mathematical Society, vol. 301 no. 1 (January, 1987), pp. 189-189 [doi]
  67. Venakides, S, Long time asymptotics of the Korteweg-de Vries equation, Transactions of the American Mathematical Society, vol. 293 no. 1 (January, 1986), pp. 411-411 [doi]
  68. Venakides, S, Long-Time Asymptotics of the Korteweg-Devries Equation, Transactions of the American Mathematical Society, vol. 293 no. 1 (January, 1986), pp. 411-419 [doi]
  69. Venakides, S, The generation of modulated wavetrains in the solution of the Korteweg—de vries equation, Communications on Pure and Applied Mathematics, vol. 38 no. 6 (January, 1985), pp. 883-909 [doi]
  70. 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, vol. 38 no. 2 (January, 1985), pp. 125-155 [doi]  [abs]
  71. El, G.A.; Krylov, A.L.; Molchanov, S.A.; Venakides, S., Soliton turbulence as a thermodynamic limit of stochastic soliton lattices. In Advances in nonlinear mathematics and science., Physica D 152/153 (2001), 653--664
  72. S. Venakides, M. Haider, V. Papanicolaou, Boundary Integral Calculations of 2-d Electromagnetic Scattering by Photonic Crystal Fabry-Perot Structures, SIAM J. Appl. Math. vol. 60/5, (2000), pp. 1636-1706
  73. A. Georgieva, T. Kriecherbauer, Stephanos Venakides, Wave Propagation and Resonance in a 1-d Nonlinear Discrete Periodic Medium, SIAM J. Appl. Math., vol. 60/1, (1999), pp. 272-294
  74. P. Deift, T. Kriecherbauer, K. T-R McLaughlin,S. Venakides, X. Zhou, Strong Asymptotics of Orhtogonal Polynomials with Respect to Exponential Weights, CPAM, vol.52 (1999) 1491-1552.
  75. M. McDonald, S. Venakides, Renormalization of the Tau Function for Integrable Systems: A Model Problem, CPAM, Vol 51, 1998, 937-966.
  76. P. Deift, S. Venakides, X. Zhou, An Extension of the Method of Steepest Descent for Riemann-Hilbert Problems: The Small Dispersion Limit of the Korteweg-de Vries (KdV) Equation, Proc. Ntl. Acad. Sc. USA, vol. 95, Jan 1998, 450-454.
  77. P. Deift, S. Venakides, X. Zhou, New Results in the Small-Dispersion KdV by an Extension of the Method of Steepest Descent for Riemann-Hilbert Problems, IMRN, 1997, N0. 6, 285-299.
  78. P. Deift, T. Kriecherbauer, K. T-R McLaughlin,S. Venakides, X. Zhou, Asymptotics of Polynomials Orthogonal with Respect to Varying Exponential Weights, IMRN, 1997 No 16, pp. 759-782
  79. P. Deift, T. Kriecherbauer, S. Venakides, Forced Lattice Vibrations Part II, Comm. Pure Appl. Math. 48, 1995, 1251-1298.
  80. P. Deift, T. Kriecherbauer, S. Venakides, Forced Lattice Vibrations Part I, Comm. Pure Appl. Math. 48,1995, 1187-1250.
  81. L. L. Bonilla, F. Higuera, S. Venakides, The Stability of the Steady State of the Gunn Oscillator, SIAM J. Appl. Math. vol. 54, No 6, (1994), pp. 1521-1541.
  82. P. Deift, S. Venakides, X. Zhou, The Collisionless Shock Region for the Long Time Behavior of the Solutions of the KdV Equation, CPAM. vol. 47, (1994), pp. 199-206.
  83. P. D. Lax, C. D. Levermore, S. Venakides, The Generation and Propagation of Oscillations in Dispersive IVP's and their Limiting Behavior, Important Developments in Soliton Theory 1980--1990}, T. Fokas and V.E. Zakharov eds., Springer-Verlag, Berlin (1992).
  84. S. Venakides, The solution of completely integrable systems in the continuum limit of the spectral data, IMA Proceedings, vol. 2, (1986) pp. 337-356..
  85. S. Venakides, The zero-dispersion limit of the Korteweg-de Vries equation with non-trivial reflection coefficient, Comm. Pure and Appl. Math. 38, pp. 125-155, 1985.

Papers Accepted

  1. Komineas, S; Shipman, SP; Venakides, S, Lossless polariton solitons, Physica D: Nonlinear Phenomena, vol. 316 (February, 2016), pp. 43-56 [doi]  [abs]

Preprints

  1. Stavros Komineas, Stephen P. Shipman, Stephanos Venakides, Lossless Polariton Solitons, arXiv (2014) [arXiv:1409.4067]  [abs]

 

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