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Mathematical models of dorsal closure

Progress in biophysics and molecular biology, 2018-09, Vol.137, p.111-131

2018

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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, 1999-11, Vol.52 (11), p.1335-1425

1999

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Upregulation of Forces and Morphogenic Asymmetries in Dorsal Closure during Drosophila Development

Biophysical journal, 2007-04, Vol.92 (7), p.2583-2596

2007

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New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems

International Mathematics Research Notices, 1997, Vol.1997 (6), p.285-299

1997

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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 - PNAS, 1998-01, Vol.95 (2), p.450-454

1998

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The collisionless shock region for the long-time behavior of solutions of the KdV equation

Communications on pure and applied mathematics, 1994-02, Vol.47 (2), p.199-206

1994

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Two-dimensional photonic crystal Fabry-Perot resonators with lossy dielectrics

IEEE transactions on microwave theory and techniques, 1999-11, Vol.47 (11), p.2085-2091

1999

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Forces for Morphogenesis Investigated with Laser Microsurgery and Quantitative Modeling

Science (American Association for the Advancement of Science), 2003-04, Vol.300 (5616), p.145-149

2003

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A Riemann–Hilbert approach to asymptotic questions for orthogonal polynomials

Journal of computational and applied mathematics, 2001-08, Vol.133 (1), p.47-63

2001

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On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation

Communications on pure and applied mathematics, 2004-07, Vol.57 (7), p.877-985

2004

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Semiclassical Limit of the Scattering Transform for the Focusing Nonlinear Schrodinger Equation

International mathematics research notices, 2012-01

2012

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1:2 Resonance Mediated Second Harmonic Generation in a 1-D Nonlinear Discrete Periodic Medium

SIAM journal on applied mathematics, 2001, Vol.61 (5), p.1802-1815

2001

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Resonance and Bound States in Photonic Crystal Slabs

SIAM journal on applied mathematics, 2003-01, Vol.64 (1), p.322-342

2003

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Destructive impact of imperfect beam collimation in extraordinary optical transmission

Journal of the Optical Society of America. A, Optics, image science, and vision, 2013-06, Vol.30 (6), p.1281

2013

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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, 2009-01, Vol.2009 (11), p.2056-2080

2009

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Asymptotics for polynomials orthogonal with respect to varying exponential weights

International Mathematics Research Notices, 1997, Vol.1997 (16), p.759-782

1997

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The eigenvalue problem for the focusing nonlinear Schrödinger equation: new solvable cases

Physica. D, 2000-11, Vol.146 (1), p.150-164

2000

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Resonant transmission near nonrobust periodic slab modes

Physical review. E, Statistical, nonlinear, and soft matter physics, 2005-02, Vol.71 (2 Pt 2), p.026611-026611, Article 026611

2005

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Semiclassical Focusing Nonlinear Schrödinger Equation I: Inverse scattering map and its evolution for radiative initial data

International mathematics research notices, 2007-01, Vol.2007

2007

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Unified approach to KdV modulations

Communications on pure and applied mathematics, 2001-10, Vol.54 (10), p.1243-1270

2001

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Boundary Integral Calculations of Two-Dimensional Electromagnetic Scattering by Photonic Crystal Fabry-Perot Structures

SIAM journal on applied mathematics, 2000, Vol.60 (5), p.1686-1706

2000

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Soliton turbulence as a thermodynamic limit of stochastic soliton lattices

Physica. D, 2001-05, Vol.152, p.653-664

2001

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Boundary-Integral Calculations of Two-Dimensional Electromagnetic Scattering in Infinite Photonic Crystal Slabs: Channel Defects and Resonances

SIAM journal on applied mathematics, 2002-07, Vol.62 (6), p.2129-2148

2002

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The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient

Communications on pure and applied mathematics, 1985-03, Vol.38 (2), p.125-155

Venakides, Stephanos

1985

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An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vreies (KdV) equation

Proceedings of the National Academy of Sciences - PNAS, 1998-01, Vol.95 (2), p.450

1998

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Mathematical models of dorsal closure

Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory

Upregulation of Forces and Morphogenic Asymmetries in Dorsal Closure during Drosophila Development

New results in small dispersion KdV by an extension of the steepest descent method for Riemann-Hilbert problems

An Extension of the Steepest Descent Method for Riemann-Hilbert Problems: The Small Dispersion Limit of the Korteweg-de Vries (KdV) Equation

The collisionless shock region for the long-time behavior of solutions of the KdV equation

Two-dimensional photonic crystal Fabry-Perot resonators with lossy dielectrics

Forces for Morphogenesis Investigated with Laser Microsurgery and Quantitative Modeling

A Riemann–Hilbert approach to asymptotic questions for orthogonal polynomials

On semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation

Semiclassical Limit of the Scattering Transform for the Focusing Nonlinear Schrodinger Equation

1:2 Resonance Mediated Second Harmonic Generation in a 1-D Nonlinear Discrete Periodic Medium

Resonance and Bound States in Photonic Crystal Slabs

Destructive impact of imperfect beam collimation in extraordinary optical transmission

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

Asymptotics for polynomials orthogonal with respect to varying exponential weights

The eigenvalue problem for the focusing nonlinear Schrödinger equation: new solvable cases

Resonant transmission near nonrobust periodic slab modes

Semiclassical Focusing Nonlinear Schrödinger Equation I: Inverse scattering map and its evolution for radiative initial data

Unified approach to KdV modulations

Boundary Integral Calculations of Two-Dimensional Electromagnetic Scattering by Photonic Crystal Fabry-Perot Structures

Soliton turbulence as a thermodynamic limit of stochastic soliton lattices

Boundary-Integral Calculations of Two-Dimensional Electromagnetic Scattering in Infinite Photonic Crystal Slabs: Channel Defects and Resonances

The zero dispersion limit of the korteweg-de vries equation for initial potentials with non-trivial reflection coefficient

An extension of the steepest descent method for Riemann-Hilbert problems: The small dispersion limit of the Korteweg-de Vreies (KdV) equation

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