Nonexistence and short time asymptotic behavior of source-type solution for porous medium equation with convection in one-dimension

DOI10.3934/DCDSB.2016011zbMath1346.35115OpenAlexW2339821230MaRDI QIDQ316904

Guofu Lu

Publication date: 30 September 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016011

zbMATH Keywords

asymptotic behaviorconvectionnonexistenceporous medium equationentropy conditionBarenblatt-Pattle solutionsource-type solution

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Degenerate parabolic equations (35K65) Singular parabolic equations (35K67) Fokker-Planck equations (35Q84)

Related Items (2)

Very singular solution and short time asymptotic behaviors of nonnegative singular solutions for heat equation with nonlinear convection ⋮ A remark on removable singularity for nonlinear convection-diffusion equation

Cites Work

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• Source-type solutions for equations of nonstationary filtration
• Asymptotic behaviour and source-type solutions for a diffusion-convection equation
• The Cauchy problem for some classes of quasi-linear parabolic equations
• Finite Volume Methods for Hyperbolic Problems
• An Analysis of a Class of Second-Order Accurate Godunov-Type Schemes

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