Scattering by two convex bodies
Scattering of electromagnetic plane waves from a coated PEMC circular cylinder placed under PEC wide double wedge.
Scattering problems in a domain with small holes.
In this paper, we consider a family of scattering problems in perforated unbounded domains Ωε. We assume that the perforation is contained in a bounded region and that the holes have a ?critical? size. We study the asymptotic behaviour of the outgoing solutions of the steady-state scattering problem and we prove that an extra term appears in the limit equation. Finally, we obtain convergence results for scattering frequencies and solutions.
Schallfronten an ebenen Kurven. III. (Sonic wave fronts at plane curves. III).
Semiclassical electron motion and Novikov's conjecture
Semireciprocal wave propagation
Shock waves and Cerenkov radiation in electromagnetic substratum.
Singular integrals of the time harmonic Maxwell equations theory on a piecewise Liapunov surface.
Singularities of Maxwell interface problems
Singularities of Maxwell interface problems
We investigate time harmonic Maxwell equations in heterogeneous media, where the permeability μ and the permittivity ε are piecewise constant. The associated boundary value problem can be interpreted as a transmission problem. In a very natural way the interfaces can have edges and corners. We give a detailed description of the edge and corner singularities of the electromagnetic fields.
Singularities of Maxwell’s system in non-hilbertian Sobolev spaces
We study the regularity of the solution of the regularized electric Maxwell problem in a polygonal domain with data in . Using a duality method, we prove a decomposition of the solution into a regular part in the non-Hilbertian Sobolev space and an explicit singular one.
Soliton-pair Propagation under Thermal Bath Effect
We consider two atomic transitions excited by two variable laser fields in a three-level system. We study the soliton-pair propagation out of resonance and under thermal bath effect. We present general analytical implicit expression of the soliton-pair shape. Furthermore, we show that when the coupling to the environment exceeds a critical value, the soliton-pair propagation through three-level atomic system will be prohibited.
Solutions for a class of integro-differential equations with time periodic coefficients.
Solutions globales du système de Maxwell dans un milieu ferromagnétique
Solutions of initial value problems for a pair of linear first order ordinary differential systems with interface-spatial conditions.
Solutions of inverse problems with potential application for breast tumour detection using microwave measurements.
Solutions to a nonlinear drift-diffusion model for semiconductors.
Solutions to Deconvolution Equations Using Nonperiodic Sampling.
Solutions to Maxwell equations for an electromagnetic beam injected into a plasma.
Solutions with vortices of a semi-stiff boundary value problem for the Ginzburg–Landau equation
We study solutions of the 2D Ginzburg–Landau equation subject to “semi-stiff” boundary conditions: Dirichlet conditions for the modulus, , and homogeneous Neumann conditions for the phase. The principal result of this work shows that there are stable solutions of this problem with zeros (vortices), which are located near the boundary and have bounded energy in the limit of small . For the Dirichlet boundary condition (“stiff” problem), the existence of stable solutions with vortices, whose energy...