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Statistical mechanics, integrability and dispersive hydrodynamics

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Workshop
19th October 2020 to 23rd October 2020
Organisers: 
Ken McLaughlin
Gennady El
Antonio Moro
Pierre Suret

**Following the outbreak of COVID19, the start date of this workshop has been deferred to 2022. Please visit the new workshop webpage here**

 

Workshop theme:

The overarching purpose of the workshop is  to generate new collaborations between researchers working in experimental, computational and analytical aspects of nonlinear  dispersive hydrodynamics, randomness and statistical mechanics. In particular, the workshop will focus on the growing field of integrable turbulence, which aims at combining the concepts of randomness and of integrability.

The workshop will be sampled from experimental approaches in optics and hydrodynamics through to theoretical and mathematical questions concerning integrable systems. The main topics will be the statistical description of integrable turbulence, kinetic theory, soliton gases, space-time correlations in integrable and non-integrable lattice systems, thermodynamic properties of random matrix ensembles and nonlinear dispersive systems, the use of inverse scattering transform with random initial data… These problems are of particular interest in the fields of nonlinear optics and of hydrodynamics. The central models discussed in this workshop will be integrable equations such as the one dimensional nonlinear Schrodinger or the Korteweg-de Vries equations. The analysis of non-integrable perturbations induced by high order terms is also a fundamental question.

We expect a balance of researchers from the experimental, computational, and analytical communities, all of whom are committed to considerable time for discussion, with a possibly smaller number of presentations that are designed to address the complementary groups.

 

Cancelled On: 
Wednesday 24th June 2020 - 17:05
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons