LINEAR FLOW IN POROUS MEDIA WITH DOUBLE PERIODICITY
Renata Bunoiu, Jeannine Saint Jean Paulin · 1999
We study the classical steady Stokes equations with homogeneous Dirichlet boundary conditions. We work in a 3-D domain which contains solid obstacles, two-periodically distributed with period (respectively 2 ), where is a small parameter. Our aim is to study the asymptotic behaviour, as ! 0. We use the 3-scale convergence for getting the 3-scale limit problem. The problem obtained is a three-pressures system. R¶¶ Onle problµeme de Stokes stationnaire classique, avec des conditions de Dirichlet homogµ au bord. Le problµeme est posdans un domaine qui contient des inclusions solides rpdiquement, avec periodicitde l'ordre d'un petit paramµ et de l'ordre de 2 . Pour le passsage µ la limite en , on utilise la mde de convergence 3-¶helle. Le problµ limite 3-¶helle obtenu est un problµ µ trois pressions.