Couche limite dans un modèle de ferromagnétisme

In this paper we study the asymptotic limit of the solutions of Landau-Lifschitz equations as the exchange coefficient goes to zero. In order to perform this limit in regular spaces, we have to take into account the singularity induced by a boundary layer term. On étudie le comportement asymptotique...

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Bibliographic Details
Published in:Communications in partial differential equations 2002, Vol.27 (7-8), p.1467-1495
Main Authors: Carbou, Gilles, Fabrie, Pierre, Guès, Olivier
Format: Article
Language:fre
Subjects:
Analysis of PDEs
Mathematics
Online Access:Get full text
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Summary:In this paper we study the asymptotic limit of the solutions of Landau-Lifschitz equations as the exchange coefficient goes to zero. In order to perform this limit in regular spaces, we have to take into account the singularity induced by a boundary layer term. On étudie le comportement asymptotique des solutions des équations de Landau-Lifschitz lorsque le coefficient d'échange tend vers zéro. Une couche limite se forme alors au bord du matériau, et on décrit cette couche limite.
ISSN:0360-5302
1532-4133
DOI:10.1081/PDE-120005845