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.
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.
Accepted:
Published online:
Xavier Claeys 1, 2, 3
@article{CRMATH_2015__353_2_139_0, author = {Xavier Claeys}, title = {Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions}, journal = {Comptes Rendus. Math\'ematique}, pages = {139--142}, publisher = {Elsevier}, volume = {353}, number = {2}, year = {2015}, doi = {10.1016/j.crma.2014.10.009}, language = {en}, }
Xavier Claeys. Stability of electromagnetic cavities perturbed by small perfectly conducting inclusions. Comptes Rendus. Mathématique, Volume 353 (2015) no. 2, pp. 139-142. doi : 10.1016/j.crma.2014.10.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.10.009/
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