On the ferromagnetism equations with large variations solutions

Olivier Guès (1) , Franck Sueur (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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.

Mots clés: Landau-Lifschitz equations; asymptotic expansions; internals layers

Domaines: Equations aux dérivées partielles [math.AP]

Olivier Guès, Franck Sueur. On the ferromagnetism equations with large variations solutions. 2006. ⟨hal-00022005⟩