On the Ferromagnetism equations in the non static case

Gilles Carbou; Pierre Fabrie; Olivier Guès

doi:10.3934/cpaa.2004.3.367

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2004, Volume 3, Issue 3: 367-393. Doi: 10.3934/cpaa.2004.3.367

This issue Previous Article Global existence and regularity for the Lagrangian averaged Navier-Stokes equations with initial data in $H^{1//2}$ Next Article Remarks on the strong maximum principle for viscosity solutions to fully nonlinear parabolic equations

On the Ferromagnetism equations in the non static case

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

Received: August 31, 2003

Revised: January 31, 2004

Published: August 2004

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Abstract

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.

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Mathematics Subject Classification: 35K55 35Q60 35C20.

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