Workshop on "Modified dispersion for dispersive equations and systems"

Location: WPI, OMP 1, Seminar Room 08.135 Mon, 23. Sep (Opening: 15:00) - Fri, 27. Sep 13

Organisation(s) WPI Organiser(s) Rémi Carles (CNRS c/o U. de Montpellier 2) Norbert J. Mauser (WPI c/o U.Wien) Jean-Claude Saut (U. Paris-Sud)

Remark: Click here for further information

Nonlinear dispersive equations and systems (KdV, KP, Schrödinger,....type) are derived as asymptotic models from more complicated systems (water waves, nonlinear Maxwell,...). The dispersion is then obtained as a Taylor approximation of the original one. This limits the range of frequencies for which the model is relevant. An idea to enlarge this range is to keep the original dispersion, leading to "fully dispersive" models. Those models are less dispersive than the classical ones (and the dispersion is in general nonlocal). This opens many new interesting mathematical questions. The aim to the workshop is to make the present state of the art and to review the open issues

Talks in the framework of this event

Rémi Carles	WPI, OMP 1, Seminar Room 08.135	Mon, 23. Sep 13, 15:00
Nonstandard dispersion in Schrödinger equations
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Paolo Antonelli	WPI, OMP 1, Seminar Room 08.135	Mon, 23. Sep 13, 16:00
Scattering for nonlinear Schrödinger equations with partially confining potential
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Mathieu Colin	WPI, OMP 1, Seminar Room 08.135	Tue, 24. Sep 13, 9:30
Short pulses approximations in dispersive media
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Eric Dumas	WPI, OMP 1, Seminar Room 08.135	Tue, 24. Sep 13, 10:45
Nonlinear optics: taking full dispersion and ionization into account
Note:   You may download the presentation of the talk
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Valeria Banica	WPI, OMP 1, Seminar Room 08.135	Tue, 24. Sep 13, 14:15
Dispersion for the Schrödinger equation on the line with multiple Dirac delta potentials
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Vincent Duchêne	WPI, OMP 1, Seminar Room 08.135	Wed, 25. Sep 13, 9:30
Nonlinear dispersive asymptotic models for the propagation of internal waves
Note:   You may download the presentation of the talk
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Nicola Visciglia	WPI, OMP 1, Seminar Room 08.135	Wed, 25. Sep 13, 10:45
Long-time behavior and invariant measures for the Benjamin-Ono equation
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

David Lannes	WPI, OMP 1, Seminar Room 08.135	Wed, 25. Sep 13, 14:15
Stabilization by dispersion: the example of interfacial waves
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Felipe Linares	WPI, OMP 1, Seminar Room 08.135	Thu, 26. Sep 13, 9:30
Dispersive perturbations of Burgers and hyperbolic Equations
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Christian Klein	WPI, OMP 1, Seminar Room 08.135	Thu, 26. Sep 13, 10:45
Numerical study of blow-up in nonlinear dispersive equations
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Dmitry Pelinovsky	WPI, OMP 1, Seminar Room 08.135	Thu, 26. Sep 13, 14:15
Validity of the weakly nonlinear solution for the Boussinesq-Ostrovsky equation
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Thomas Alazard	WPI, OMP 1, Seminar Room 08.135	Fri, 27. Sep 13, 9:30
Global solutions and asymptotic behavior for two dimensional gravity water waves
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)

Didier Pilod	WPI, OMP 1, Seminar Room 08.135	Fri, 27. Sep 13, 10:45
The Cauchy problem for two dimensional Boussinesq systems
Thematic program: Dynamic Wave Functions 2013 (2013) Event: Workshop on "Modified dispersion for dispersive equations and systems" (2013)