A self-similar solution for the porous medium equation in a two-component domain

DOI10.1016/J.NA.2011.09.017zbMath1233.35065OpenAlexW2067538427MaRDI QIDQ651158

Ján Filo, Volker Pluschke

Publication date: 8 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.09.017

zbMATH Keywords

contact conditionnonlinear ODEprescribed power-law nonlinearity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear ordinary differential equations and systems (34A34) Degenerate parabolic equations (35K65) Growth and boundedness of solutions to ordinary differential equations (34C11) Free boundary problems for PDEs (35R35) Self-similar solutions to PDEs (35C06) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The porous medium equation in a two-component domain
• Asymptotic behaviour for the porous medium equation posed in the whole space.
• A Free Boundary Problem in Dermal Drug Delivery
• Regularity Propeties of Flows Through Porous Media
• Regularity Properties of Flows Through Porous Media: A Counterexample

This page was built for publication: A self-similar solution for the porous medium equation in a two-component domain