no. 2
Partial Differential Equations
Convergence of a ferromagnetic film model
[Convergence pour un modèle de film mince en ferromagnétisme]

Présenté par : Haïm Brezis

Alouges, François1 ; Labbé, Stéphane1
1 Université Paris-Sud 11, laboratoire de mathématiques, 91405 Orsay cedex, France
Comptes Rendus. Mathématique, Tome 344 (2007) no. 2, pp. 77-82.

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 :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2006.11.031
Alouges, François 1 ; Labbé, Stéphane 1

1 Université Paris-Sud 11, laboratoire de mathématiques, 91405 Orsay cedex, France 
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Alouges, François; Labbé, Stéphane. Convergence of a ferromagnetic film model. Comptes Rendus. Mathématique, Tome 344 (2007) no. 2, pp. 77-82. doi : 10.1016/j.crma.2006.11.031. http://www.numdam.org/articles/10.1016/j.crma.2006.11.031/

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