Two asymptotic regimes of the Landau-Lifshitz equation

Philippe Gravejat
Cergy-Pontoise University, AGM Research Center in Mathematics (UMR 8088), F-95302 Cergy-Pontoise Cedex, France
The Landau-Lifshitz equation gives account of the dynamics of magnetization in ferromagnets. The goal of this talk is to describe the rigorous derivation of two aymptotic regimes of this equation corresponding to the Sine-Gordon equation and the cubic Schrödinger equation. This talk is based on two papers in collaboration with André de Laire (University of Lille).