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Homogenization of a one-dimensional model for compressible miscible flow in porous media

Catherine Choquet — 2003

Bollettino dell'Unione Matematica Italiana

We discuss the homogenization of a one-dimensional model problem describing the motion of a compressible miscible flow in porous media. The flow is governed by a nonlinear system of parabolic type coupling the pressure and the concentration. Using the technique of renormalized solutions for parabolic equations and a compensated compactness argument, we prove the stability of the homogenization process.

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