Geodesic
Homogenization of a one-dimensional model for compressible miscible flow in porous media
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 2, pp. 399-414

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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. 
@article{BUMI_2003_8_6B_2_a8,
     author = {Choquet, Catherine},
     title = {Homogenization of a one-dimensional model for compressible miscible flow in porous media},
     journal = {Bollettino della Unione matematica italiana},
     pages = {399--414},
     publisher = {mathdoc},
     volume = {Ser. 8, 6B},
     number = {2},
     year = {2003},
     zbl = {1177.76404},
     mrnumber = {MR1988213},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_2_a8/}
}
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Choquet, Catherine. Homogenization of a one-dimensional model for compressible miscible flow in porous media. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 2, pp. 399-414. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_2_a8/