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The cubic Szegö equation : integrability and wave turbulence.

PDE and Applied Math Seminar

Speaker: Professor Patrick Gérard, Université Paris–Sud, Orsay
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Location: 3106 MSB
Start time: Thu, Nov 19 2015, 4:10PM

The cubic Szegö equation is a toy model related to one dimensional nonlinear waves. Using tools from harmonic analysis, we prove that this Hamiltonian evolution enjoys both complete integrability and long time superpolynomial transition to high frequencies. This is a joint work with Sandrine Grellier.