Very Regular Solutions for the Landau-Lifschitz Equation with Electric Current |
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| Authors: | Gilles CARBOU and Rida JIZZINI |
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| Institution: | 1.Laboratoire de Mathématiques Appliquées de Pau, UMR CNRS 5142,Université de Pau et des Pays de l’Adour,Pau Cedex,France;2.Institut de Mathématiques de Bordeaux, UMR CNRS 5251,Université de Bordeaux,Talence Cedex,France |
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| Abstract: | The authors consider a model of ferromagnetic material subject to an electric current, and prove the local in time existence of very regular solutions for this model in the scale of Hk spaces. In particular, they describe in detail the compatibility conditions at the boundary for the initial data. |
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| Keywords: | Ferromagnetic materials Compatibility conditions Existence result |
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