The infiltration problem with large constant surface flux in partially saturated porous media

DOI10.1007/BF01665848zbMath0633.76107OpenAlexW2044541574MaRDI QIDQ1096501

Lianjun An

Publication date: 1985

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01665848

zbMATH Keywords

regularityexistence of weak solutionshomogeneous, isotropic porous mediuminfiltration problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

One dimensional filtration problem in partially saturated layered porous media ⋮ Mathematical problems on the fluid-solute-heat flow through porous media. II: Partially saturated case

Cites Work

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• The boundary value problems for the filtration equation in partially saturated porous media
• Some properties of the solution of a filtration problem in partially saturated porous media
• The infiltration problem with constant rate in partially saturated porous media
• The solution of an infiltration problem with ponded surface flux condition
• Nonstationary filtration in partially saturated porous media
• Intersections of solutions of nonlinear parabolic equations
• Properties of solutions of an equation in the theory of infiltration
• Nonstationary filtration in partially saturated porous media: continuity of the free boundary
• Parabolic regularization and behaviour of the free boundary for unsaturated flow in a porous medium.
• Similarity solutions of the nonlinear diffusion equation

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