Existence and nonexistence of global solutions of the convective porous medium equations with a nonlinear forcing at the boundary

DOI10.1006/jmaa.1996.0010zbMath0857.35070OpenAlexW2094457454MaRDI QIDQ1916703

Mingxin Wang, Jin-Song Hu

Publication date: 9 March 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1996.0010

zbMATH Keywords

blow upglobal positive solutionsconvective porous medium equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)

Related Items (3)

Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions ⋮ Convective porous medium equations with nonlinear forcing at the boundary ⋮ On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition

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