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Gennady El (Northumbria University)
Monday 03 October 2022, 09:00-10:00
Emergent hydrodynamics of soliton gases in integrable systems: INI-RIMS Collaboration
- đ¤ Speaker: Gennady El (Northumbria University)
- đ Date & Time: Monday 03 October 2022, 09:00 - 10:00
- đ Venue: Seminar Room 2, Newton Institute
Abstract
Soliton gases represent infinite random ensembles of interacting solitons displaying nontrivial large-scale behaviours ultimately determined by the properties of the elementary two-soliton collisions. The emergent hydrodynamics of non-equilibrium soliton gases in integrable dispersive systems such as the Korteweg-de Vries and nonlinear Schr\”odinger equations is described by the universal nonlinear integro-differential kinetic equation for the density of states in the spectral (Lax) phase space. In my talk, I will outline the main ideas of the spectral theory of soliton gases and its connection with the fundamental concept of ``integrable turbulence’’ introduced by Zakharov in 2009.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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