Partial differential equations/Mathematical physics
Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions
[Stabilité des cavités électromagnétiques perturbées par des petites inclusions parfaitement conductrices]

Présenté par : the Editorial Board

Claeys, Xavier1, 2, 3
1 Sorbonne Universités, UPMC Université Paris-6, UMR 7598, Laboratoire Jacques-Louis-Lions, 75005 Paris, France
2 CNRS, UMR 7598, Laboratoire Jacques-Louis-Lions, 75005 Paris, France
3 INRIA Paris–Rocquencourt, EPI Alpines, Domaine de Voluceau, BP105, 78153 Le Chesnay cedex, France
Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 139-142.

Dans cette note, nous considérons un problème de propagation d'ondes électromagnétiques en régime harmonique dans une cavité bornée, dans le cas où la cavité contient de petites inclusions parfaitement conductrices. Nous montrons que la solution de ce problème dépend continuement des données de manière uniforme vis-à-vis de la taille des inclusions.

In this note, we consider an electromagnetic wave propagation problem in harmonic regime in a bounded cavity, in the case where the medium of propagation contains small perfectly conducting inclusions. We prove that the solution to this problem depends continuously on the data in a uniform manner with respect to the size of the inclusions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.10.009
Claeys, Xavier 1, 2, 3

1 Sorbonne Universités, UPMC Université Paris-6, UMR 7598, Laboratoire Jacques-Louis-Lions, 75005 Paris, France
2 CNRS, UMR 7598, Laboratoire Jacques-Louis-Lions, 75005 Paris, France
3 INRIA Paris–Rocquencourt, EPI Alpines, Domaine de Voluceau, BP105, 78153 Le Chesnay cedex, France 
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Claeys, Xavier. Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions. Comptes Rendus. Mathématique, Tome 353 (2015) no. 2, pp. 139-142. doi : 10.1016/j.crma.2014.10.009. http://archive.numdam.org/articles/10.1016/j.crma.2014.10.009/

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