Résumé:
In this thesis, the deals with an asymptotic behavior of positive solution for a new classe of parabolic system involving of (p(x),q(x))- Laplacian system of partial differential equations using a new method which is a sub and super solution according to some ([44]-[13]) which treated the stationary case, this idea is new for evolutionary case of this kind of problem. The purpose of our this thesis will provide a framework for image restoration. Furthermore, fuild modeling electrolysis is widely considered as an important application that treats non-homogenous Laplace operators. In the last century, many studies of the experimental side have been studied on various materials that rely on this advanced theory, as they are important in electrical fluids, which states that viscosity relates to the electric field in a certain liquid.
