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Well-posedness of the Drude-Born-Fedorov model for chiral media

Patrick Ciarlet 1 Guillaume Legendre 1, 2 
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We consider a chiral medium in a bounded domain, enclosed in a perfectly conducting material. We solve the transient Maxwell equations in this domain, when the medium is modeled by the Drude-Born-Fedorov constitutive equations. The input data is located on the boundary, in the form of given surface current and surface charge densities. It is proved that, except for a countable set of chirality admittance values, the problem is mathematically well-posed. This result holds for domains with non-smooth boundaries. © World Scientific Publishing Company.
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Submitted on : Tuesday, October 29, 2013 - 5:12:58 PM
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Patrick Ciarlet, Guillaume Legendre. Well-posedness of the Drude-Born-Fedorov model for chiral media. Mathematical Models and Methods in Applied Sciences, 2007, 17 (3), pp.461-484. ⟨10.1142/s0218202507001991⟩. ⟨hal-00876234⟩



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