Blow-up rates for degenerate parabolic equations coupled via equation and boundary

DOI10.1080/14689367.2011.580333zbMath1227.35099OpenAlexW1967247891MaRDI QIDQ3094807

Qiong Chen, Zhaoyin Xiang, Chun-Lai Mu

Publication date: 27 October 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2011.580333

zbMATH Keywords

blow-up estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

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Global existence and blow-up of solutions for a non-Newton polytropic filtration system with special volumetric moisture content ⋮ Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source

Cites Work

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• The problem of blow-up in nonlinear parabolic equations
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• The role of critical exponents in blow-up theorems: The sequel
• Blowup behaviors for degenerate parabolic equations coupled via nonlinear boundary flux
• Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions
• The Role of Critical Exponents in Blowup Theorems
• The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
• Asymptotic simplification for a reaction-diffusion problem with a nonlinear boundary condition
• BLOW-UP RATE ESTIMATES FOR A SYSTEM OF REACTION-DIFFUSION EQUATIONS WITH ABSORPTION

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