Convergence of a ferromagnetic film model

François Alouges; Stéphane Labbé

doi:10.1016/j.crma.2006.11.031

Partial Differential Equations

Convergence of a ferromagnetic film model
[Convergence pour un modèle de film mince en ferromagnétisme]

Présenté par : Haïm Brezis

François Alouges ¹ ; Stéphane Labbé ¹

¹ Université Paris-Sud 11, laboratoire de mathématiques, 91405 Orsay cedex, France

Comptes Rendus. Mathématique, Volume 344 (2007) no. 2, pp. 77-82.

Résumé
Abstract

Dans cette Note, nous présentons un résultat de Γ-convergence pour les films de matériaux ferromagnétiques. Nous proposons un modèle pour lequel il est possible d'assurer une convergence forte des minimiseurs quand le paramètre d'échange tend vers zéro. Dans ce modèle, l'épaisseur du film est considérée comme constante et l'aimantation est contrainte à rester constante dans l'épaisseur du film.

In this Note, we present a Γ-convergence type result for ferromagnetic films. We propose a model of films for which we could ensure the strong convergence of minimizers when the exchange parameter vanishes. In this model, the plate thickness is kept constant and the magnetization stays constant in the thickness of the film.

Reçu le : 2006-10-12
Accepté le : 2006-11-24
Publié le : 2006-12-22

DOI : 10.1016/j.crma.2006.11.031

Affiliations des auteurs :

François Alouges ¹ ; Stéphane Labbé ¹

¹ Université Paris-Sud 11, laboratoire de mathématiques, 91405 Orsay cedex, France

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     title = {Convergence of a ferromagnetic film model},
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     pages = {77--82},
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François Alouges; Stéphane Labbé. Convergence of a ferromagnetic film model. Comptes Rendus. Mathématique, Volume 344 (2007) no. 2, pp. 77-82. doi : 10.1016/j.crma.2006.11.031. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.11.031/

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