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Long wave limit for Schrodinger maps

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

October 30, 2015 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Pierre Germain (New York University, Courant Institute)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • NLS equation with potential

  • wave equation

  • long range behavior

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

14401

Abstract

I will show how a new class of KdV-type equations can be derived from Schrodinger maps with a constraining potential in the long wave limit. This gives a general framework encompassing long waves limits for Gross-Pitaevski and Landau-Lifschitz equations. This is joint work with Frederic Rousset.

Supplements
24886?type=thumb Germain-Notes 233 KB application/pdf Download
Video/Audio Files

14401

H.264 Video 14401.mp4 328 MB video/mp4 rtsp://videos.msri.org/data/000/024/693/original/14401.mp4 Download
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