Add to ORKGWe investigate a scalar interface problem originating from a skin effect model in electromagnetism. The problem is posed in a domain made of two materials, dielectric and highly conducting. We focus on the case of a corner interface between the two subdomains. In this context, we present a multi-scale expansion for the solution of the transmission problem at high conductivity. For a smooth interface, boundary layers are present close to the surface of the conductor. For a corner interface, singularities appear in the dielectric part, and generate corner layers in the conducting part. Numerical simulations will be presented. This work is a collaboration with G. Caloz, M. Dauge, E. Faou, and C. Poignard
Multiferroic behavior is commonly described as a bulk phenomenon where, at least, two of the three f...
We study a 2D scalar harmonic wave transmission problem between a classical dielectric and a medium ...
International audienceConsider two materials with permittivities/diffusivities of opposite sign, and...
We investigate a scalar interface problem originating from a skin effect model in electromagnetism. ...
We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability μ and ...
We study a three-dimensional model for the skin effect in electromagnetism. The 3-D case of the Maxw...
International audienceWe consider the equations of electromagnetism set on a domain made of a dielec...
Eddy current problems are addressed in a bidimensional setting where the conducting medium is non-ma...
Abstract—The idea of replacing an edgy perfectly conducting boundary by the corresponding interface ...
The study is based on the exact analytical solution for the general conjugation problem of three-dim...
Abstract—The idea of replacing an edgy perfectly conducting boundary by the corresponding interface ...
Abstract. We derive high-order terms in the asymptotic expansions of the boundary perturbations of s...
Abstract The skin eVect is due to the self-inductance of a conductor, and it becomes very relevant a...
We investigate the case of a medium with two inclusions or inhomogeneities with nearly touching corn...
The paper deals with existence and homogenization for elliptic problems with lower order terms sin...
Multiferroic behavior is commonly described as a bulk phenomenon where, at least, two of the three f...
We study a 2D scalar harmonic wave transmission problem between a classical dielectric and a medium ...
International audienceConsider two materials with permittivities/diffusivities of opposite sign, and...
We investigate a scalar interface problem originating from a skin effect model in electromagnetism. ...
We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability μ and ...
We study a three-dimensional model for the skin effect in electromagnetism. The 3-D case of the Maxw...
International audienceWe consider the equations of electromagnetism set on a domain made of a dielec...
Eddy current problems are addressed in a bidimensional setting where the conducting medium is non-ma...
Abstract—The idea of replacing an edgy perfectly conducting boundary by the corresponding interface ...
The study is based on the exact analytical solution for the general conjugation problem of three-dim...
Abstract—The idea of replacing an edgy perfectly conducting boundary by the corresponding interface ...
Abstract. We derive high-order terms in the asymptotic expansions of the boundary perturbations of s...
Abstract The skin eVect is due to the self-inductance of a conductor, and it becomes very relevant a...
We investigate the case of a medium with two inclusions or inhomogeneities with nearly touching corn...
The paper deals with existence and homogenization for elliptic problems with lower order terms sin...
Multiferroic behavior is commonly described as a bulk phenomenon where, at least, two of the three f...
We study a 2D scalar harmonic wave transmission problem between a classical dielectric and a medium ...
International audienceConsider two materials with permittivities/diffusivities of opposite sign, and...