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: SLMath: Eisenbud Auditorium
Tags/Keywords
NLS equation with potential
wave equation
long range behavior
35J93 - Quasilinear elliptic equations with mean curvature operator
76F60 - $k$k-$\varepsilon$\varepsilon modeling in turbulence
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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.
Germain-Notes
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