Effective Transmission Conditions for Thin-Layer Transmission Problems in Elastodynamics
Texte intégral
Documents relatifs
tilded quantities again denote perturbation upon the a.h.f. Thus one again, gets up to first order in the tilded quantities, the first. eq.. given in section 2
We study the behavior of the electro-quasistatic voltage potentials in a material composed by a bidimensional medium surrounded by a weakly oscillating thin layer and embedded in
We then give new results for the study of this problem in the framework of Hölder spaces: an explicit representation of the solution and necessary and su¢ cient conditions at
This is the reason why we present in this paper an asymptotic analysis for time-harmonic Maxwell equations in a domain with thin layer.. Our analysis is closed to those performed
We describe an explicit procedure for constructing P based on the prolongation theory of the first part of this paper which involves finitely many steps. These results imply
One of the main reasons to study regularized semigroups is their flexibility in applications to evolution equations (see e.g.. We will demonstrate this in Section
Several approaches to deal efficiently with equations of the form (2.17) with a linear stiff part can be found in the literature: implicit-explicit (IMEX) methods, in which the
In [5] the main results of the present paper are used to characterize the homogeneous differential operators P(D) that admit a continuous linear right inverse on C7°°(^), fl,