Convective porous medium equations with nonlinear forcing at the boundary

DOI10.1006/jmaa.1997.5396zbMath0990.35080OpenAlexW2034574783MaRDI QIDQ1363546

Mingxin Wang, Shou-Xin Chen

Publication date: 28 January 1998

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

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5396

zbMATH Keywords

blow-upparabolic equationsporous medium equations

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65)

Related Items

Interactions among multi-nonlinearities in a nonlinear diffusion system with absorptions and nonlinear boundary flux ⋮ The continuous dependence on nonlinearities of solutions of the Neumann problem of a singular parabolic equation ⋮ On critical Fujita exponents for the porous medium equation with a nonlinear boundary condition ⋮ Fast-slow diffusion systems with nonlinear boundary conditions ⋮ Global existence and blow-up of solutions for parabolic systems involving cross-diffusion and nonlinear boundary conditions

Cites Work

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• Stability and instability for solutions of the convective porous medium equation with a nonlinear forcing at the boundary. II
• Diffusivity versus absorption through the boundary
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• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Nonlinear elliptic boundary-value problems in unbounded domains
• Global Existence and Blow-Up Problems for Quasilinear Parabolic Equations with Nonlinear Boundary Conditions