6 papers · 1 filter
Unique determination of electromagnetic parameters from partial boundary measurements
Christian Daveau, Abdessatar Khelifi, Houssem Lihiou
We consider an inverse boundary value problem for the Maxwell's equations with a given data assumed to be known only in accessible part of the boundary. We aim to prove an uniq…
Asymptotic Expansions for Resonances in the Presence of Small Anisotropic Imperfections
M. Gozzi, A. Khelifi
We provide a rigorous derivation of an asymptotic formula for perturbations in the resonance values caused by the presence of finite number of anisotropic imperfections of small sh…
Asymptotic behaviors for eigenvalues and eigenfunctions associated to Stokes operator in the presence of small boundary perturbations
Christian Daveau, Abdessatar Khelifi
We consider the Stokes eigenvalue problem in a bounded domain of R3 with Dirich- let boundary conditions. The aim of this paper is to advance the development of high-order terms in…
Identifying of the refractive index for the acoustic equation at fixed frequency
Christian Daveau, Abdessatar Khelifi, Anton Sushchenko
In this paper we determine a formula for calculating the refractive index for the acoustic equation from the partial Dirichlet to Neumann map(DN) associated to .…
Recovery of small electromagnetic inhomogeneities from boundary measurements in time-dependent Maxwell's equations
Christian Daveau, Abdessatar Khelifi
We consider for the time-dependent Maxwell's equations the inverse problem of identifying locations and certain properties of small electromagnetic inhomogeneities in a homogeneous…
On the perturbation of the electromagnetic energy due to the presence of inhomogeneities with small diameters
Christian Daveau, Abdessatar Khelifi
We consider solutions to the time-harmonic Maxwell problem in . For such solution we provide a rigorous derivation of the asymptotic expansions in the practically interesting…