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Homogenization of a model of displacement with unbounded viscosity

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  • 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.
    Mathematics Subject Classification: Primary: 76M50, 35K65; Secondary: 76S05, 35K55.


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