Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2010

Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism

Résumé

In this paper we prove uniform a priori estimates for transmission problems with constant coefficients on two subdomains, with a special emphasis for the case when the ratio between these coefficients is large. In the most part of the work, the interface between the two subdomains is supposed to be Lipschitz. We first study a scalar transmission problem which is handled through a converging asymptotic series. Then we derive uniform a priori estimates for Maxwell transmission problem set on a domain made up of a dielectric and a highly conducting material. The technique is based on an appropriate decomposition of the electric field, whose gradient part is estimated thanks to the first part. As an application, we develop an argument for the convergence of an asymptotic expansion as the conductivity tends to infinity.
Fichier principal
Vignette du fichier
UnifEst.pdf (263.38 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00422315 , version 1 (06-10-2009)
hal-00422315 , version 2 (19-04-2010)

Identifiants

Citer

Gabriel Caloz, Monique Dauge, Victor Péron. Uniform estimates for transmission problems with high contrast in heat conduction and electromagnetism. Journal of Mathematical Analysis and Applications, 2010, 370 (2), pp.555-572. ⟨10.1016/j.jmaa.2010.04.060⟩. ⟨hal-00422315v2⟩
692 Consultations
190 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More