Blow-up for a porous medium equation with a localized source

DOI10.1016/J.AMC.2003.10.032zbMath1098.35083OpenAlexW2030346590MaRDI QIDQ702581

Chunhong Xie, Youpeng Chen

Publication date: 17 January 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.10.032

zbMATH Keywords

Global existenceAsymptotic behaviorFinite time blow-upLocalized sourcePorous medium equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05)

Related Items (14)

Global existence and blowup solutions for quasilinear parabolic equations ⋮ Blow-up for a degenerate reaction-diffusion system with nonlinear localized sources ⋮ Asymptotic analysis for a localized nonlinear diffusion equation ⋮ Uniform blow-up rate for a porous medium equation with a weighted localized source ⋮ Global existence and blow-up for a quasilinear parabolic system with localized sources ⋮ Blow-up properties for a degenerate parabolic system with nonlinear localized sources ⋮ Existence and blow-up of solutions for a porous medium equation with nonlocal boundary condition ⋮ Blow-up properties for a degenerate parabolic system with nonlinear localized sources ⋮ A degenerate parabolic system with localized sources and nonlocal boundary condition ⋮ Boundedness of global solutions for a nonlinear degenerate parabolic (porous medium) system with localized sources ⋮ Global existence and blow-up for a class of degenerate parabolic systems with localized source ⋮ A further blow-up analysis for a localized porous medium equation ⋮ Boundedness and blowup for nonlinear degenerate parabolic equations ⋮ Asymptotic analysis to blow-up points for the porous medium equation with a weighted non-local source

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