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Article Dans Une Revue Journal of Evolution Equations Année : 2012

Hysteresis for ferromagnetism: asymptotics of some two-scale Landau-Lifshitz model

Eric Dumas
Stéphane Labbé

Résumé

We study a two-scale version of the Landau-Lifshitz system of ferromagnetism, introduced by Starynkevitch to modelize hysteresis: the response of the magnetization is fast compared to a slowly varying applied magnetic field. Taking the exchange term into account, in space dimension 3, we prove that, under some natural stability assumption on the equilibria of the system, the strong solutions follow the dynamics of these equilibria. We also give explicit examples of relevant equilibria and exterior magnetic fields, when the ferromagnetic medium occupies some ellipsoidal domain.
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Dates et versions

hal-00625074 , version 1 (20-09-2011)

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Eric Dumas, Stéphane Labbé. Hysteresis for ferromagnetism: asymptotics of some two-scale Landau-Lifshitz model. Journal of Evolution Equations, 2012, 12 (3), pp.621-645. ⟨10.1007/s00028-012-0147-1⟩. ⟨hal-00625074⟩
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