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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

Catherine Choquet 1, and  Ali Sili 2,

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.
Keywords: coupled problem, porous media., Homogenization, nonlinear degenerate parabolic equations.
Mathematics Subject Classification: Primary: 76M50, 35K65; Secondary: 76S05, 35K5.
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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