On the ferromagnetism equations with large variations solutions
Abstract
We exhibit some large variations solutions of the Landau-Lifschitz equations as the exchange coefficient ε2 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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