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Unité Mixte de Recherche du C.N.R.S. N°7534
Abstract : We consider a thin curved ferromagnetic film not submitted to an external magnetic field. The behavior of the film is described by an energy depending on the magnetization verifying the saturation constraint. The energy is composed of an induced magnetostatic energy and an energy term with density, including the exchange energy and the anisotropic energy. We study the behavior of this energy when the thickness of the curved film goes to zero. We show with Gamma-convergence arguments that the minimizers of the free energy converge to the minimizers of a local energy depending on a two-dimensional magnetization.
Films Courb├ęs Minces Ferromagn├ętiques
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