Well-posedness of the Drude-Born-Fedorov model for chiral media
Legendre, Guillaume; Ciarlet, Patrick (2007), Well-posedness of the Drude-Born-Fedorov model for chiral media, Mathematical Models and Methods in Applied Sciences, 17, 3, p. 461-484. http://dx.doi.org/10.1142/S0218202507001991
TypeArticle accepté pour publication ou publié
Journal nameMathematical Models and Methods in Applied Sciences
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Abstract (EN)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.
Subjects / KeywordsDrude–Born–Fedorov relations; Maxwell's equations; Chiral media
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Nicaise, Serge; Legendre, Guillaume; Ciarlet, Patrick (2013) Article accepté pour publication ou publié