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

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• André de Laire (Université Lille 1)
• Tuesday 29 October 2019, 14:00-15:00
• Lecture Theatre B, Watson Building.

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.

This talk is included in these lists:

• Analysis seminar
• Lecture Theatre B, Watson Building
• School of Mathematics events

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