Abstract.
We study the asymptotic behavior, with respect to high Peclet numbers, of a model describing a compressible and miscible displacement in a porous medium. The transport of mass is then described by a nonlinear, fully coupled and degenerate parabolic system. Using non-classical estimates and renormalization tools, we prove existence of relevant weak solutions for the limit problem.
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Choquet, C. Asymptotic Analysis of a Nonlinear Parabolic Problem Modelling Miscible Compressible Displacement in Porous Media. Nonlinear differ. equ. appl. 15, 757–782 (2008). https://doi.org/10.1007/s00030-008-8010-3
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DOI: https://doi.org/10.1007/s00030-008-8010-3