Blow-up estimates for system of heat equations coupled via nonlinear boundary flux

DOI10.1016/S0362-546X(03)00060-9zbMath1019.35039MaRDI QIDQ1811776

Lizhong Zhao, Sining Zheng

Publication date: 17 June 2003

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

zbMATH Keywords

estimates of the blow-up rate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (8)

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 ⋮ 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 analysis for a system of heat equations with nonlinear flux which obey different laws ⋮ Transient behavior of solutions to a class of nonlinear boundary value problems ⋮ Simultaneous versus nonsimultaneous blowup for a system of heat equations coupled boundary flux ⋮ Thermal avalanche after non-simultaneous blow-up in heat equations coupled via nonlinear boundary

Cites Work

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• Asymptotically self‐similar blow‐up of semilinear heat equations
• A potential well theory for the heat equation with a nonlinear boundary condition
• A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
• The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition

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