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Chinese Annals of Mathematics, Series B

, Volume 39, Issue 5, pp 889–916 | Cite as

Very Regular Solutions for the Landau-Lifschitz Equation with Electric Current

  • Gilles Carbou
  • Rida Jizzini
Article
  • 12 Downloads

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.

Keywords

Ferromagnetic materials Compatibility conditions Existence result 

2000 MR Subject Classification

35K55 35Q60 

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Copyright information

© Fudan University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratoire de Mathématiques Appliquées de Pau, UMR CNRS 5142Université de Pau et des Pays de l’AdourPau CedexFrance
  2. 2.Institut de Mathématiques de Bordeaux, UMR CNRS 5251Université de BordeauxTalence CedexFrance

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