MATHEMATICAL-MODELING EF A NON-NEWTONIAN VISCOUS-FLOW THROUGH A THIN FILTER

We consider a non-Newtonian flow, like a polymer in fusion or a soluti on, pushed through a thin periodic filter with period and thickness ep silon << 1. Starting from the Stokes system with a nonlinear viscosity obeying the Carreau's law (with a high rate viscosity or without it), we study the asymptotic behavior of the Bow as epsilon --> 0. The mai n goal of this paper is to study the global convergence of the pressur e in the whole domain and not separately in the upper and in the lower part as in [1], [2] and [3]. (C) Academie des Sciences/Elsevier, Pari s.