Scope of the workshop.

This workshop aims at gathering together researchers from different background interested in the theory of non linear waves and in particular dispersive shock waves and their relevance in physical applications.

Dispersive shock waves are found as solutions of partial differential equations of mixed hyperbolic/dispersive type. This type of systems describes, various physical phenomenon like water wave propagation (Boussinesq, Green-Naghdi, Korteweg-de Vries and Kadomtsev-Petviashvili equations), nonlinear optics (nonlinear Schroedinger, Davey Stewartson equations) and Bose Einstein condensation (Gross-Pitaevski equations).

The workshop will be focused on the following questions:

* qualitative behaviour of solutions as dispersive terms goes to zero (Cauchy problem and time of existence, construction of dispersive shocks with matched asymptotics),

* stability of non linear waves (solitary waves, periodic waves) and Whitham's modulation theory (construction of generalized waves like shocks in parameters),

* numerical simulations of dispersive equations (numerical computation of dispersive shock waves, conservative schemes, treatment of boundary problems)

and numerical analysis (stability, convergence) of dispersive equations.

Practical Informations.

The CIRM will open on Sunday 6th of January 2013 at 6:00 pm. Local expenses are covered by the CIRM. The staff of the CIRM will contact each participant by mail in order to confirm their participation to the conference through a registration on the website of the CIRM (please answer their email, your participation should be confirmed by a member of the CIRM staff).

Deadline for registration on CIRM website: 2nd December 2012.

The conference should start on Monday 7th at 9:00 am and should end on Friday 11th at 2:00 pm. The program should be online within the week.

Speakers and Schedule.

The titles and abstracts can be found here

Confirmed Participants/Speakers.

Corentin Audiard (Université Pierre et Marie Curie, France)

Sylvie Benzoni-Gavage (Université Lyon 1, France)

Christophe Besse (Université Lille 1, France)

Didier Bresch (Université de Savoie, France)

Rémi Carles (Université de Montpellier 2, France)

Florent Chazel (INSA Toulouse, France)

Frédéric Chardard (Université Saint Étienne, France)

Alexander Chesnokov (Lavrentyev Institute of Hydrodynamics, Russia)

David Chiron (Université de Nice, France)

Boris Dubrovin (SISSA, Italy)

Gennady El (Loughborough University, United Kingdom)

Heinrich Freistühler (University of Konstanz, Germany)

Sergey Gavrilyuk (IUSTI, Université Aix Marseille 3, France)

Tamara Grava (SISSA, Italy)

Philippe Gravejat (École Polytechnique, France)

Mariana Haragus (Université de Franche-Comté, France)

Johannes Höwing (University of Konstanz, Germany)

Anatoly Kamchatnov (Institute for Spectroscopy RAS, Russia)

Alexander Khe (Lavrentyev Institute of Hydrodynamics, Russia)

Andreas Klaiber (University of Konstanz, Germany)

Christian Klein (Université de Bourgogne, France)

Pauline Klein (Université de Franche-Comté, France)

Matthias Kotschote (University of Konstanz, Germany)

Frédéric Lagoutière (Université Paris 11, France)

Valery Liapidevskii (Lavrentyev Institute of Hydrodynamics, Russia)

Youcef Mammeri (Université de Picardie Jules Vernes, France)

Davide Masoero (Universidade de Lisboa, Portugal)

Antonio Moro (SISSA, Italy)

Pascal Noble (Université Lyon 1, France)

Maxim V. Pavlov (Landau Institute for Theoretical Physics RAS, Russia)

Andrea Raimondo (SISSA, Italy)

Luis Miguel Rodrigues (Université Lyon 1, France)

Kristelle Roidot (University of Vienna, Austria)

Frédéric Rousset (Université Rennes 1, France)

Denis Serre (ENS Lyon, France)

Jean Claude Saut (Université Paris 11, France)

Paul Vigneaux (ENS Lyon, France)

Jean-Paul Vila (INSA Toulouse, France)