Non-simultaneous versus simultaneous blow-up for coupled heat equations with positive-negative sources

DOI10.1016/J.AMC.2008.01.023zbMath1157.35400OpenAlexW1979429401MaRDI QIDQ941486

Lan Qiao, Sining Zheng

Publication date: 1 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.023

zbMATH Keywords

complete classificationnon-linear boundary flux

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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)

Cites Work

• Unnamed Item
• The blow-up properties of solutions to semilinear heat equations with nonlinear boundary conditions
• Critical exponents in a parabolic system with inner absorption and coupled nonlinear boundary flux
• Non-simultaneous blow-up for heat equations with positive-negative sources and coupled boundary flux
• Nonsimultaneous blow-up for a quasilinear parabolic system with reaction at the boundary
• The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition

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