University of Birmingham > Talks@bham > Analysis Seminar > The cubic Schrödinger and Sine-Gordon regimes of the anisotropic Landau-Lifshitz equation

The cubic Schrödinger and Sine-Gordon regimes of the anisotropic Landau-Lifshitz equation

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If you have a question about this talk, please contact Alessio Martini.

The Landau-Lifshitz equation describes the macroscopical dynamics of the magnetization in a ferromagnetic material. In the physical literature there are formal arguments showing that, depending on the anisotropy of the materials, the Landau-Lifshitz equation can be approximated by the cubic nonlinear Schrodinger equation or by the Sine-Gordon equation. In this talk, we rigurosly establish these aproximations, by using well-tailored energy estimates with good symmetrization properties, that lead to estimates of the differences in Sobolev norms.

This talk is part of the Analysis Seminar series.

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