Titre : T-coercivity for the Maxwell problem with sign-changing coefficients
Année : 2014
Type : article (revue avec comité de lecture)
Auteurs : A.-S. Bonnet-BenDhia, L. Chesnel, P. Ciarlet
Résumé : In this paper, we study the time-harmonic Maxwell problem with sign-changing permittivity and/or permeability, set in a domain of R^3. We prove, using the T-coercivity approach, that the well-posedness of the two canonically associated scalar problems, with Dirichlet and Neumann boundary conditions, implies the well-posedness of the Maxwell problem. This allows us to give simple and sharp criteria, obtained in the study of the scalar cases, to ensure that the Maxwell transmission problem between a classical dielectric material and a negative metamaterial is well-posed.
Thèmes : Ondes harmoniques
Référence : Communications in Partial Differential Equations - vol. 39 (pp 1007-1031 )