Long-time behaviour for porous medium equations with convection

DOI10.1017/S0308210500012816zbMath0906.35050MaRDI QIDQ3840008

Philippe Laurençot, Frédérique Simondon

Publication date: 21 January 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

entropy solutionsource-type solutionBarenblatt-Pattle similarity solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)

Related Items

Asymptotic behavior for the critical nonhomogeneous porous medium equation in low dimensions, Analysis and computation of gravity-induced migration in porous media, Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection, Large time behavior for the porous medium equation with convection, Large time behavior for a porous medium equation in a nonhomogeneous medium with critical density, Asymptotic solution of a nonlinear advection-diffusion equation, A very singular solution for the slow diffusion equation with nonlinear convection, Late-time asymptotic solution of nonlinear advection-diffusion equations with equal exponents, \(L^p\) decay rate for a nonlinear convection diffusion reaction equation in \(\mathbb{R}^n\), Source-type solutions to porous medium equations with convection. II, Long-time behaviour for diffusion equations with fast convection

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