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Issue ESAIM: Proc.
Volume 20, 2007
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005
Page(s) 1 - 15
DOI http://dx.doi.org/10.1051/proc:072001
Published online 13 October 2007

ESAIM: Proc., 2007, Vol. 20, pp. 1-15
DOI: 10.1051/proc:072001

Homogénéisation d'un problème oscillant de conduction thermique

A. Ait Moussa and J. Messaho

Département de Mathématiques et Informatique, Faculté des Sciences, Université Mohammed 1er, Oujda

moussa@sciences.univ-oujda.ac.ma
j_messaho@yahoo.fr

(Published online: 13 October 2007)

Abstract
We study the asymptotic behavior of a thermal problem, of a containing structure, an oscillating thin layer of thickness and conductivity depending of $\varepsilon$. We use the the epi-convergence method to find the limit problems with interface conditions. The obtained results are tested numerically.


Résumé
On étudie le comportement asymptotique par la méthode d'épiconvergence d'un problème thermique, d'une structure contenant une bande oscillante d'épaisseur et de conductivité dépendant de $\varepsilon$. On trouve les problèmes limites avec conditions d'interfaces. Les résultats obtenus sont testés numériquement.


Mathematics Subject Classification. 35B40, 82B24, 76M50

Key words: Comportement asymptotique; Bande oscillante; Epiconvergence; Problème limite.


© EDP Sciences, ESAIM 2007


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