Ecoulement dynamique du fluide de bingham avec loi de frottement du type sous-différentiel

Abstract

The purpose of this thesis is the study of some boundary value problems for the Bingham fluid. For this aim we consider two flows: dynamical flow and stationary thermal flow. For these problems we establish some existence, uniqueness and continuous dependence results. The thesis is divided in three chapters. The aim of the first chapter is to give the mathematical formulation of problems considered in this thesis and we recall the main mathematical tools used in order to establish the results presented here. We consider in the second chapter a problem modelled the dynamical flow of Bingham fluid. In the third chapter we consider a problem traduce the stationary thermal flow of Bingham fluid. In these two problems subdifferntial friction boundary conditions are used.