Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws

DOI10.1016/j.na.2007.07.040zbMath1162.35390OpenAlexW1986069432MaRDI QIDQ944760

Xianfa Song

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.040

zbMATH Keywords

blow-up ratenonlinear boundary conditionsblow-up setsystem of heat equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Non-simultaneous blow-up of a reaction-diffusion system with inner absorption and coupled via nonlinear boundary flux ⋮ Non-simultaneous blow-up for a parabolic system with nonlinear boundary flux which obey different laws ⋮ A note on blow-up analysis for a system of semilinear parabolic equations ⋮ Blow-up phenomena for a system of semilinear heat equations with nonlinear boundary flux ⋮ Blow-up rate estimates for a parabolic system with multiple nonlinearities ⋮ Blow-up properties for heat equations coupled via different nonlinearities ⋮ Blow‐up phenomena for a system of semilinear parabolic equations with nonlinear boundary conditions

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