Classical solutions of a parabolic-hyperbolic system modeling a three-dimensional compressible miscible flow in porous media

DOI10.1080/00036819908840734zbMath1020.76044OpenAlexW2075062057WikidataQ58164383 ScholiaQ58164383MaRDI QIDQ4779949

Youcef Amirat, Abdelhamid Ziani

Publication date: 29 October 2002

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819908840734

zbMATH Keywords

uniquenesslocal existenceclassical solutioncompressible miscible flownonlinear parabolic-hyperbolic systemthree-dimensional porous medium

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Semi-classical solutions for a nonlinear coupled elliptic-parabolic problem ⋮ On some nonlocal homogenization problems and problems of fluids in porous media: a contribution of Abdelhamid Ziani

Cites Work

• Global weak solutions for a parabolic system modeling a one-dimensional miscible flow in porous media
• A survey of results on the solubility of boundary-value problems for second-order uniformly elliptic and parabolic quasi-linear equations having unbounded singularities
• Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media
• MATHEMATICAL ANALYSIS FOR COMPRESSIBLE MISCIBLE DISPLACEMENT MODELS IN POROUS MEDIA
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