The propagation of Love waves in a non-homogeneous layer of finite thickness lying over an isotropic semi-infinite medium is discussed in this study. It is assumed that density and rigidity are space dependent and obey the laws  (1+cosz), μ=μ0 (1+cosz), where ‘’is a scaling parameter. The method of variable separation, substitution method for solving the second order partial differen...

The scalar wave inverse source problem (ISP) is investigated for the case where the source is embedded in a non-homogeneous medium with known index of refraction proÞle n(r). It is shown that the solution to the ISP having minimum energy (so-called minimum energy source) can be obtained via a simple method of constrained optimization. This method is applied to the special case when the non-homo...

We consider electromagnetic waves propagating in a periodic medium characterized by two small scales. We perform the corresponding homogenization process, relying on the modelling by Maxwell’s partial differential equations. Key wordsMaxwell’s equations, Homogenization, two-scale convergence, oscillating test functions. (MSC)-2000: 35Q60, 35B27 [email protected] hassan.taha@labo...

a numerical study of 3d electrokinetic flows through micromixers was performed. the micromixers considered here consisted of heterogeneous rectangular microchannels with prescribed patterns of zeta-potential at their walls. numerical simulation of electroosmotic flows within heterogeneous channels requires solution of the navier-stokes, ernest-plank and species concentration equations. it is kn...

We prove the existence and give the asymptotic behavior of non local fronts in homogeneous media.

The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized Neumann type boundary condition. The problem is solved using the Analog Equation Method (AEM)...

In this note we develop tools to study the Cauchy problem for the system of thermo-elasticity in higher dimensions. The theory is developed for general homogeneous anisotropic media under non-degeneracy conditions. For degenerate cases a method of treatment is sketched and for the cases of cubic media and hexagonal media detailed studies are provided.