The porous medium equation in a two-component domain

DOI10.1016/j.jde.2009.07.025zbMath1179.35176OpenAlexW1969339070MaRDI QIDQ1038459

Ján Filo, Volker Pluschke

Publication date: 18 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.07.025

zbMATH Keywords

free boundarynonlinear diffusionnonlinear contact condition

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Free boundary problems for PDEs (35R35) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (2)

A rescaling algorithm for the numerical solution to the porous medium equation in a two-component domain ⋮ A self-similar solution for the porous medium equation in a two-component domain

Cites Work

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• Quasilinear elliptic-parabolic differential equations
• The Cauchy problem for an equation in the theory of infiltration
• Entropy solutions for nonlinear degenerate problems
• Asymptotic behaviour for the porous medium equation posed in the whole space.
• \(L^ 1\)-contraction and uniqueness for quasilinear elliptic-parabolic equations
• The Initial Trace of a Solution of the Porous Medium Equation
• On the uniqueness of the solution of the evolution dam problem
• A Free Boundary Problem in Dermal Drug Delivery
• Regularity Propeties of Flows Through Porous Media
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Regularity Properties of Flows Through Porous Media: A Counterexample

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