[Sur la controlabilté des équations de Maxwell dans des milieux spécifiques]
Dans cette Note nous étudions le problème de la contrôlabilité exacte des équations de Maxwell en milieux spécifiques avec deux différents modèles, d'un côté le modèle en temps de Drude–Born–Fedorov, et d'un autre côté un milieu bilinéaire simplifié.
Pour le premier on prouve la non contrôlabilité approchée alors que pour le second nous prouvons la contrôlabilité exacte sous les conditions usuelles suffisantes de l'équation des ondes.
In this Note we study the problem of exact controllability of the Maxwell's equations in specific media with two different models, on the one hand the so-called Drude–Born–Fedorov model, in the time domain, and on the other hand a simplified bilinear medium.
For the first one we prove the non approximate controllability whereas for the second one we are able to prove the exact controllability under the usual conditions of the wave equation.
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@article{CRMATH_2005__341_11_665_0,
author = {Courilleau, Patrick and Horsin Molinaro, Thierry},
title = {On the controllability for {Maxwell's} equations in specific media},
journal = {Comptes Rendus. Math\'ematique},
pages = {665--668},
publisher = {Elsevier},
volume = {341},
number = {11},
year = {2005},
doi = {10.1016/j.crma.2005.10.011},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2005.10.011/}
}
TY - JOUR AU - Courilleau, Patrick AU - Horsin Molinaro, Thierry TI - On the controllability for Maxwell's equations in specific media JO - Comptes Rendus. Mathématique PY - 2005 SP - 665 EP - 668 VL - 341 IS - 11 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2005.10.011/ DO - 10.1016/j.crma.2005.10.011 LA - en ID - CRMATH_2005__341_11_665_0 ER -
%0 Journal Article %A Courilleau, Patrick %A Horsin Molinaro, Thierry %T On the controllability for Maxwell's equations in specific media %J Comptes Rendus. Mathématique %D 2005 %P 665-668 %V 341 %N 11 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2005.10.011/ %R 10.1016/j.crma.2005.10.011 %G en %F CRMATH_2005__341_11_665_0
Courilleau, Patrick; Horsin Molinaro, Thierry. On the controllability for Maxwell's equations in specific media. Comptes Rendus. Mathématique, Tome 341 (2005) no. 11, pp. 665-668. doi : 10.1016/j.crma.2005.10.011. http://archive.numdam.org/articles/10.1016/j.crma.2005.10.011/
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