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Article Dans Une Revue Proceedings of the Royal Society of Edinburgh: Section A, Mathematics Année : 2008

Relaxed model for the hysteresis in micromagnetism

Résumé

In this paper we study a model of ferromagnetic material with hysteresis effects. The magnetic moment behaviour is described by the non-linear Landau-Lifschitz equation with an additional term modelling the hysteresis. This term takes the form of a maximal monotone operator acting on the time derivative of the magnetic moment. In our model, it is approximated via a relaxing heat equation. For this relaxed model we prove local existence of regular solutions.
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Dates et versions

hal-00293625 , version 1 (07-07-2008)

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  • HAL Id : hal-00293625 , version 1

Citer

Gilles Carbou, Messoud Efendiev, Pierre Fabrie. Relaxed model for the hysteresis in micromagnetism. Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2008, à paraître. ⟨hal-00293625⟩

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