Some properties of the solution of a filtration problem in partially saturated porous media

DOI10.1007/BF01883892zbMath0594.76085OpenAlexW1975222744MaRDI QIDQ1077291

Lianjun An

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01883892

zbMATH Keywords

uniquenessfiltration problempartially saturated porous mediaappearance of the free boundarycontinuity of the free surfaceexistence of the weak solutionmaximum principle for the weak solutionsecond initial-boundary valuetime-limit existenceunsaturated regions

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 (4)

The solution of an infiltration problem with ponded surface flux condition ⋮ The infiltration problem with large constant surface flux in partially saturated porous media ⋮ An elliptic-parabolic free boundary problem ⋮ The boundary value problems for the filtration equation in partially saturated porous media

Cites Work

• Unnamed Item
• Nonstationary filtration in partially saturated porous media
• The Cauchy problem for an equation in the theory of infiltration
• Regularity properties of flows through porous media: The interface
• Liquid Flow in Partially Saturated Porous Media
• Regularity of the Free Boundary for the One-Dimensional Flow of Gas in a Porous Medium
• Regularity Propeties of Flows Through Porous Media
• Regularity Properties of Flows Through Porous Media: A Counterexample

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