Method of Homogenization for the Study of the Propagation of Electromagnetic Waves in a Composite Part 1: Modeling, Scaling, Existence and Uniqueness Results

Helene Canot 1 Emmanuel Frénod 1
1 LMBA_UBS
LMBA - Laboratoire de Mathématiques de Bretagne Atlantique
Abstract : The purpose of this article is to study behavior of the electromagnetic field in 3D in and near composite material. For this, time-harmonic Maxwell equations, for a conducting two-phase composite and the air above, are considered. This paper is considered a first part in two parts study. In this part we give the setting of the problem, and we propose a rescaling of time-harmonic Maxwell system. then with a view to the homogenization, we demonstrate the uniqueness and the existence of a solution as well as an estimate.
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Communication dans un congrès
World Congress on Engineering 2017, Jul 2017, London, United Kingdom. Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2017, The 2017 International Conference of Applied and Engineering Mathematics
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Dernière modification le : mercredi 9 août 2017 - 01:08:17

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Helene Canot, Emmanuel Frénod. Method of Homogenization for the Study of the Propagation of Electromagnetic Waves in a Composite Part 1: Modeling, Scaling, Existence and Uniqueness Results. World Congress on Engineering 2017, Jul 2017, London, United Kingdom. Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering 2017, The 2017 International Conference of Applied and Engineering Mathematics. <hal-01572329>

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