Homogenization of a model of displacement with unbounded viscosity
Catherine Choquet, ,Université P. Cézanne, LATP, CNRS UMR 6632, FST, Case Cour A, 13397 Marseille Cedex 20, Ali Sili, ,Université de Toulon et du Var, Département de mathématiques, BP 20132, 83957 La Garde · Networks and Heterogeneous Media · 2009
We discuss the homogenization of a model problem describing the transport of heat and mass by a compressible miscible flow in a highly heterogeneous porous medium. The flow is governed by a nonlinear system of degenerate parabolic type coupling the pressure and the temperature. Using the technique of two-scale convergence and compensated compactness arguments, we prove some stability in the homogenization process.