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December  2009, 4(4): 649-666. doi: 10.3934/nhm.2009.4.649

## Homogenization of a model of displacement with unbounded viscosity

 1 Université P. Cézanne, LATP, CNRS UMR 6632, FST, Case Cour A, 13397 Marseille Cedex 20, France 2 Université de Toulon et du Var, Département de mathématiques, BP 20132, 83957 La Garde, France

Received  March 2008 Revised  April 2009 Published  October 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.
Citation: Catherine Choquet, Ali Sili. Homogenization of a model of displacement with unbounded viscosity. Networks & Heterogeneous Media, 2009, 4 (4) : 649-666. doi: 10.3934/nhm.2009.4.649
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