Problem of advance of the surface of contact discontinuity in the filtration of immiscible compressible fluids (the Verigin problem)

DOI10.1007/BF00971422zbMath0585.76150MaRDI QIDQ1071618

A. M. Mejrmanov

Publication date: 1982

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessone-dimensionalvariableLagrange massmotion of an interfacenonstationary filtration of a compressible fluidquasilinear parabolic diverging equation

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05)

Related Items (9)

\(\xi\)-stability of classes of mappings and systems of linear partial differential equations ⋮ The domain decomposition method for parabolic transmission problems ⋮ Associative rings ⋮ Boundary values of the mappings of the semispace, close to conformal ones ⋮ Stability of classes of multi-dimensional holomorphic mappings. III: Properties of mappings close to holomorphic ones ⋮ Structure of some special critical algebras ⋮ Stability of isometric mappings ⋮ Varieties of algebras whose critical algebras are basic ⋮ Stability of the solutions of elliptic systems

Cites Work

• A free boundary problem and an extension of Muskat's model
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