Comptes Rendus
no. 5-6
Partial Differential Equations
On the perturbation of the electromagnetic energy due to the presence of small inhomogeneities
[Sur la perturbation de l'énergie électromagnétique due à la présence d'inhomogénéités de petits diamètres]

Présenté par : Olivier Pironneau

Christian Daveau1 ; Abdessatar Khelifi2
1 Université de Cergy-Pontoise, département de mathématique, CNRS UMR 8088, 2, avenue Adolphe-Chauvin, 95302 Cergy-Pontoise, France
2 Département de mathématiques, université des sciences de Carthage, Bizerte, 7021, Tunisia
Comptes Rendus. Mathématique, Volume 346 (2008) no. 5-6, pp. 287-292.

Nous considérons des solutions des équations de Maxwell dans R3 en présence d'un nombre fini d'inhomogénéités de petits diamètres. Pour de telles solutions, nous obtenons des formules asymptotiques rigoureuses. Puis, nous décrivons le comportement de l'énergie électromagnétique.

We consider solutions to the time-harmonic Maxwell problem in R3. For such solution we propose a rigorous derivation of the asymptotic expansions in the interesting practical situation when a finite number of inhomogeneities of small diameter are embedded in the entire space. Then, we describe the behavior of the electromagnetic energy caused by the presence of these inhomogeneities.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.01.019
Christian Daveau 1 ; Abdessatar Khelifi 2

1 Université de Cergy-Pontoise, département de mathématique, CNRS UMR 8088, 2, avenue Adolphe-Chauvin, 95302 Cergy-Pontoise, France
2 Département de mathématiques, université des sciences de Carthage, Bizerte, 7021, Tunisia 
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Christian Daveau; Abdessatar Khelifi. On the perturbation of the electromagnetic energy due to the presence of small inhomogeneities. Comptes Rendus. Mathématique, Volume 346 (2008) no. 5-6, pp. 287-292. doi : 10.1016/j.crma.2008.01.019. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.01.019/

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