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Magnetostrictive solids, ferroelectric crystals and nematic
Homogenization of a model of displacement with unbounded viscosity
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.