3 papers
math-ph2013
Asymptotic formula for the solution of the Stokes problem with a small perturbation of the domain in two and three dimensions
T. H. C Luong, C. Daveau
In this paper we consider the resolvent Stokes problem in the case there is a small perturbation of the domain caused by a perturbed boundary. Firstly, we prove that the solution o…
math-ph2007
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…
math-ph2007
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…