Exact solutions of boundary-value problems for nonlinear flow in porous media

DOI10.1007/BF01049997zbMath0603.76097MaRDI QIDQ1082971

S. V. Pan'ko

Publication date: 1985

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

Laplace equationhodograph planeapproximate analytical solutionsExact solutionsnonlinear flow lawboundary- value problemscharacteristics of the flowlimiting gradientone-parameter family of flow lawsplane steady flowresistance lawsuccessive reduction

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

A representation of the solutions of the generalized Cauchy-Riemann equations and its applications

Cites Work

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• Problems in determination of the dimensions of limitingly equilibrium blocks with the displacement of viscoplastic petroleum by water
• Some exact solutions of plane filtration problems with limiting gradient

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