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Integrable systems, turbulence and water waves

Organizer(s):
Name:	Affiliation:	Country:
Sergey Dyachenko	SUNY at Buffalo	USA
Anastassiya Semenova	University of Washington	USA
Denis Silantyev	University of Colorado Colorado Springs	USA

Abstract:

The special session will cover some recent advances in the field of dynamics in nonlinear systems with emphasis on phenomena in integrable and close-to-integrable systems. The main focus is given to the systems stemming from hydro- and gas dynamics, and will discuss novel results obtained by a wide range of approaches ranging from analysis and statistical physics to numerical methods.

List of approved abstract
Name	Affiliation	Title
Rafail Abramov	University of Illinois at Chicago	Spontaneous development of turbulence in weakly compressible flow
Gino Biondini	State University of New York at Buffalo	Whitam modulation theory for multi-dimensional nonlinear wave equations and applications
Eleanor D Byrnes	University of Washington	The Instabilities of Finite-Depth Stokes Waves
Sarbarish Chakravarty	University of Colorado, Colorado Springs	Rational solutions of KPI
Alexander Chernyavsky	SUNY Buffalo	Whitham Modulation Theory for Zakharov-Kuznetsov Equation
Sergey Dyachenko	State University of New York at Buffalo	Traveling waves on a 2D fluid
Gregor Kovacic	Rensselaer Polytechnic Institute	Direct Verification of the Kinetic Description of Wave Turbulence for Finite-Size Systems
Pavel M Lushnikov	Department of Mathematics and Statistics, University of New Mexico	Statistical properties and giant fluctuations for laser beam propagating in a turbulent medium
Katie Oliveras	Seattle University	Nonlocal Formulations, Inverse Problems and Conservation Laws for Water Waves
Barbara Prinari	University at Buffalo	Solitons and soliton interactions in the complex coupled short-pulse equation
Anastassiya Semenova	University of Washington	Instability of Stokes Waves in Infinite Depth Fluid
MIchael Siegel	New Jersey Institute of Technology	Global existence and singularity formation for the generalized Constantin-Lax-Majda equation with dissipation
Denis Silantyev	University of Colorado Colorado Springs	Exact Solutions of the Generalized Constantin-Lax-Majda Equation with Dissipation