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September  2004, 3(3): 367-393. doi: 10.3934/cpaa.2004.3.367

On the Ferromagnetism equations in the non static case

Gilles Carbou 1, , Pierre Fabrie 2, and  Olivier Guès 3,

1. 

MAB, UMR 5466, CNRS, Université Bordeaux 1, 351, cours de la Libération, 33405 Talence cedex, France
2. 

Université Bordeaux-I, Mathématiques Appliquées, 351 Cours de la Libération, 33405 Talence Cedex
3. 

LATP, Université de Provence, 39 rue Joliot-Curie, 13453 Marseille cedex 13, France

Received  September 2003 Revised  February 2004 Published  June 2004

In this paper we study the asymptotic behaviour of the solutions of the system coupling Landau-Lifschitz equations and Maxwell equations as the exchange coefficient tends to zero. We prove that it appears a boundary layer described by a BKW method.
Keywords: Boundary layer, Asymptotic Expansion., Landau-Lifschitz Equations, Maxwell Equations, BKW Method.
Mathematics Subject Classification: 35K55 35Q60 35C2.
Citation: Gilles Carbou, Pierre Fabrie, Olivier Guès. On the Ferromagnetism equations in the non static case. Communications on Pure and Applied Analysis, 2004, 3 (3) : 367-393. doi: 10.3934/cpaa.2004.3.367
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