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1

Wave Propagation and Resonance in a One-Dimensional Nonlinear Discrete Periodic Medium

Anna Georgieva, Thomas Kriecherbauer and Stephanos Venakides

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 1.53 MB

english, 1999

2

The Zero Dispersion Limit of the Korteweg-de Vries Equation With Periodic Initial Data

Stephanos Venakides

Journal:

Transactions of the American Mathematical Society

Year:

1987

Language:

english

File:

PDF, 3.25 MB

english, 1987

3

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

Alexander Tovbis, Stephanos Venakides, Xin Zhou

Journal:

Communications on Pure and Applied Mathematics

Year:

2004

Language:

english

File:

PDF, 999 KB

english, 2004

4

Wave Propagation and Resonance in a One-Dimensional Nonlinear Discrete Periodic Medium

Georgieva, Anna, Kriecherbauer, Thomas, Venakides, Stephanos

Journal:

SIAM Journal on Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 461 KB

english, 1999

5

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

Georgieva, Anna, Venakides, Stephanos, Kriecherbauer, Thomas

Journal:

SIAM Journal on Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 358 KB

english, 2001

6

Resonance and Bound States in Photonic Crystal Slabs

Venakides, Stephanos, Shipman, Stephen P.

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 1.29 MB

english, 2003

7

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

Haider, Mansoor A., Venakides, Stephanos, Shipman, Stephen P.

Journal:

SIAM Journal on Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 2.95 MB

english, 2002

8

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

Haider, Mansoor A., Venakides, Stephanos, Papanicolaou, Vassilis

Journal:

SIAM Journal on Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 456 KB

english, 2000

9

The Gunn Effect: Instability of the Steady State and Stability of the Solitary Wave in Long Extrinsic Semiconductors

Bonilla, Luis L., Higuera, Francisco J., Venakides, Stephanos

Journal:

SIAM Journal on Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 2.03 MB

english, 1994

10

Approximate Traveling Waves in Linear Reaction-Hyperbolic Equations

Reed, Michael C., Venakides, Stephanos, Blum, Jacob Joseph

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 1.05 MB

english, 1990

11

The Gunn Effect: Instability of the Steady State and Stability of the Solitary Wave in Long Extrinsic Semiconductors

Luis L. Bonilla, Francisco J. Higuera and Stephanos Venakides

Journal:

SIAM Journal on Applied Mathematics

Year:

1994

Language:

english

File:

PDF, 1.60 MB

english, 1994

12

Periodic Generation and Propagation of Traveling Fronts in DC Voltage Biased Semiconductor Superlattices

Luis L. Bonilla, Manuel Kindelan, Miguel Moscoso and Stephanos Venakides

Journal:

SIAM Journal on Applied Mathematics

Year:

1997

Language:

english

File:

PDF, 2.29 MB

english, 1997

13

Approximate Traveling Waves in Linear Reaction-Hyperbolic Equations

Michael C. Reed, Stephanos Venakides and Jacob Joseph Blum

Journal:

SIAM Journal on Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 829 KB

english, 1990

14

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

Stephanos Venakides, Mansoor A. Haider and Vassilis Papanicolaou

Journal:

SIAM Journal on Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 757 KB

english, 2000

15

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

Mansoor A. Haider, Stephen P. Shipman and Stephanos Venakides

Journal:

SIAM Journal on Applied Mathematics

Year:

2002

Language:

english

File:

PDF, 938 KB

english, 2002

16

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

Anna Georgieva, Thomas Kriecherbauer and Stephanos Venakides

Journal:

SIAM Journal on Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 323 KB

english, 2001

17

Long Time Asymptotics of the Korteweg-de Vries Equation

Stephanos Venakides

Journal:

Transactions of the American Mathematical Society

Year:

1986

Language:

english

File:

PDF, 314 KB

english, 1986

18

Resonance and Bound States in Photonic Crystal Slabs

Stephen P. Shipman and Stephanos Venakides

Journal:

SIAM Journal on Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 1.34 MB

english, 2003

19

Smooth parametric dependence of asymptotics of the semiclassical focusing NLS

Belov, Sergey, Venakides, Stephanos

Journal:

Year:

2015

File:

PDF, 856 KB

2015

20

Renormalization of the τ-functions for integrable systems: A model problem

Michael A. McDonald, Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 553 KB

english, 1998

21

Existence and modulation of traveling waves in particles chains

Anne-Marie Filip, Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 572 KB

english, 1999

22

Unified approach to KdV modulations

Gennady A. El, Alexander L. Krylov, Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 166 KB

english, 2001

23

On the long-time limit of semiclassical (zero dispersion limit) solutions of the focusing nonlinear Schrödinger equation: Pure radiation case

Alexander Tovbis, Stephanos Venakides, Xin Zhou

Journal:

Communications on Pure and Applied Mathematics

Year:

2006

Language:

english

File:

PDF, 508 KB

english, 2006

24

Long-time asymptotics of the nonlinear Schrödinger equation shock problem

Robert Buckingham, Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

2007

Language:

english

File:

PDF, 1.12 MB

english, 2007

25

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

Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1985

Language:

english

File:

PDF, 946 KB

english, 1985

26

The generation of modulated wavetrains in the solution of the Korteweg—de vries equation

Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1985

Language:

english

File:

PDF, 864 KB

english, 1985

27

The infinite period limit of the inverse formalism for periodic potentials

Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1988

Language:

english

File:

PDF, 491 KB

english, 1988

28

The continuum limit of theta functions

Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1989

Language:

english

File:

PDF, 586 KB

english, 1989

29

The korteweg-de vries equation with small dispersion: Higher order lax-levermore theory

Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 796 KB

english, 1990

30

The toda shock problem

Stephanos Venakides, Percy Deift, Roger Oba

Journal:

Communications on Pure and Applied Mathematics

Year:

1991

Language:

english

File:

PDF, 1.90 MB

english, 1991

31

Periodic limit of inverse scattering

Taiyan Zhang, Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1993

Language:

english

File:

PDF, 1.33 MB

english, 1993

32

Forced lattice vibrations: Part II

Percy Deift, Thomas Kriecherbauer, Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 1.81 MB

english, 1995

33

Forced lattice vibrations: Part I

Percy Deift, Thomas Kriecherbauer, Stephanos Venakides

Journal:

Communications on Pure and Applied Mathematics

Year:

1995

Language:

english

File:

PDF, 2.30 MB

english, 1995

34

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

Alexander Tovbis, Stephanos Venakides

Journal:

Physica D: Nonlinear Phenomena

Year:

2000

Language:

english

File:

PDF, 102 KB

english, 2000

35

Soliton turbulence as a thermodynamic limit of stochastic soliton lattices

Gennady A. El, Alexander L. Krylov, Stanislav A. Molchanov, Stephanos Venakides

Journal:

Physica D: Nonlinear Phenomena

Year:

2001

Language:

english

File:

PDF, 111 KB

english, 2001

36

Nonlinear Steepest Descent Asymptotics for Semiclassical Limit of Integrable Systems: Continuation in the Parameter Space

Alexander Tovbis, Stephanos Venakides

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 439 KB

english, 2010

37

Resonant transmission near nonrobust periodic slab modes

Shipman, Stephen P., Venakides, Stephanos

Journal:

Physical Review E

Year:

2005

Language:

english

File:

PDF, 214 KB

english, 2005

38

Long-time asymptotics for the pure radiation solution of the sine—gordon equation

Cheng, Po—Jen, Venakides, Stephanos, Zhou, Xin

Journal:

Communications in Partial Differential Equations

Year:

1999

Language:

english

File:

PDF, 1.12 MB

english, 1999

39

Drosophila morphogenesis: Tissue force laws and the modeling of dorsal closure

Layton, Anita T., Toyama, Yusuke, Yang, Guo‐Qiang, Edwards, Glenn S., Kiehart, Daniel P., Venakides, Stephanos

Journal:

Year:

2009

Language:

english

File:

PDF, 639 KB

english, 2009

40

An exactly solvable model for nonlinear resonant scattering

Shipman, Stephen P, Venakides, Stephanos

Journal:

Year:

2012

Language:

english

File:

PDF, 1.59 MB

english, 2012

41

Accurate description of optical precursors and their relation to weak-field coherent optical transients

LeFew, William R., Venakides, Stephanos, Gauthier, Daniel J.

Journal:

Physical Review A

Year:

2009

Language:

english

File:

PDF, 164 KB

english, 2009

42

Continuous and discontinuous dark solitons in polariton condensates

Komineas, Stavros, Shipman, Stephen P., Venakides, Stephanos

Journal:

Physical Review B

Year:

2015

Language:

english

File:

PDF, 374 KB

english, 2015

43

Lossless polariton solitons

Komineas, Stavros, Shipman, Stephen P., Venakides, Stephanos

Journal:

Physica D: Nonlinear Phenomena

Year:

2016

Language:

english

File:

PDF, 1.06 MB

english, 2016

44

SPIE Proceedings [SPIE Optical Science and Technology, SPIE's 48th Annual Meeting - San Diego, California, USA (Sunday 3 August 2003)] Physics, Theory, and Applications of Periodic Structures in Optics II - Optimization of resonances in photonic crystal slabs

Lipton, Robert P., Lalanne, Philippe, Shipman, Stephen P., Venakides, Stephanos

Year:

2003

Language:

english

File:

PDF, 464 KB

english, 2003

45

Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space

Bruno, Oscar P., Shipman, Stephen P., Turc, Catalin, Venakides, Stephanos

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2016

Language:

english

File:

PDF, 443 KB

english, 2016

46

Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies

Bruno, Oscar P., Shipman, Stephen P., Turc, Catalin, Stephanos, Venakides

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2017

Language:

english

File:

PDF, 374 KB

english, 2017

47

Traveling domain walls in chiral ferromagnets

Komineas, Stavros, Melcher, Christof, Venakides, Stephanos

Journal:

Year:

2019

Language:

english

File:

PDF, 1.60 MB

english, 2019

48

The profile of chiral skyrmions of small radius

Komineas, Stavros, Melcher, Christof, Venakides, Stephanos

Journal:

Year:

2020

File:

PDF, 727 KB

2020