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Wave turbulence for the cubic Szegö equation and beyond

New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015

October 19, 2015 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Patrick Gerard (Université de Paris XI)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
  • wave turbulence

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14368

Abstract

This talk will be divided into two parts.

The first part will be devoted to the introduction of the cubic Szegö equation on the circle and of its integrable structure, with applications to existence of solutions displaying wave turbulence.

The second part will give an idea of  works in progress about extensions of wave turbulence to  related Hamiltonian PDEs.

Supplements
24930?type=thumb Gerard_Notes 479 KB application/pdf Download
Video/Audio Files

14368

H.264 Video 14368.mp4 320 MB video/mp4 rtsp://videos.msri.org/14368/14368.mp4 Download
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