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On the ferromagnetism equations with large variations solutions

Olivier Guès·Franck Sueur
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Abstract

We exhibit some large variations solutions of the Landau-Lifschitz equations as the exchange coefficient ε^2 tends to zero. These solutions are described by some asymptotic expansions which involve some internals layers by means of some large amplitude fluctuations in a neighborhood of width of order ε of an hypersurface contained in the domain. Despite the nonlinear behaviour of these layers we manage to justify locally in time these asymptotic expansions.

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Olivier Guès, Franck Sueur. 2006-03-30. On the ferromagnetism equations with large variations solutions. https://arxiv.org/abs/math/0603721

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