Asymptotic non-stability and blow-up at boundary for solutions of a filtration equation

DOI10.1007/BF03246274zbMath1170.76358OpenAlexW2368034706MaRDI QIDQ957633

Zhenchao Cao, Pengnian Chen

Publication date: 1 December 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03246274

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)

Cites Work

• Blow-up of solutions of semilinear parabolic equations
• Uniform bounds from bounded \(L_ p-\)functionals in reaction-diffusion equations
• An application of the invariance principle to reaction diffusion equations
• Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
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