The boundary value problems for the filtration equation in partially saturated porous media

DOI10.1007/BF01669679zbMath0591.76159OpenAlexW1981385500MaRDI QIDQ1075219

Ning Su, Jianguo Li

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/bf01669679

zbMATH Keywords

existenceporous mediumuniquenessinterface problemsregularity of weak solutionsone-dimensional flowasymptotic behavior of weak solutionscomparsion principlefirst and second boundary value problemshomogeneous rigidone-dimensional filtrationpartially saturated porous media

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

The solution of an infiltration problem with ponded surface flux condition, The infiltration problem with large constant surface flux in partially saturated porous media, Continuous dependence on the constitutive functions for a class of problems describing fluid flow in porous media, One dimensional filtration problem in partially saturated layered porous media, An elliptic-parabolic free boundary problem, An elliptic-parabolic free boundary problem: continuity of the interface

Cites Work

• Unnamed Item
• Some properties of the solution of a filtration problem in partially saturated porous media
• Nonstationary filtration in partially saturated porous media
• A necessary and sufficient condition for the existence of an interface in flows through 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
• The Porous Medium Equation in One Dimension
• Regularity Propeties of Flows Through Porous Media