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
Location: MSRI: Simons Auditorium
NLS equation with potential
long range behavior
35Q55 - NLS-like equations (nonlinear Schrödinger) [See also 37K10]
35Q53 - KdV-like equations (Korteweg-de Vries) [See also 37K10]
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.
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