Analysis Seminar

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KdV Limit for Geometric Schrödinger Equations with Potential

Speaker: Pierre Germain, Courant

Location: Warren Weaver Hall 1302

Date: Thursday, February 27, 2014, 11 a.m.

Synopsis:

It is well known that the KdV equation arises as a long wave limit of the Gross-Pitaevskii equation. In this talk, I will present a generalization of this derivation to geometric Schrödinger equations (wave maps). This has applications to various physical situtations: spin models, coupled nonlinear Schrödinger equations.