Simultaneous versus nonsimultaneous blowup for a system of heat equations coupled boundary flux

DOI10.1155/2007/75258zbMath1139.35353OpenAlexW2072228807WikidataQ59214400 ScholiaQ59214400MaRDI QIDQ2472144

Mingshu Fan, Lili Du

Publication date: 20 February 2008

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54207

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05)

Related Items (1)

Thermal avalanche after non-simultaneous blow-up in heat equations coupled via nonlinear boundary

Cites Work

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• Blow-up results and localization of blow-up points in an \(N\)-dimensional smooth domain
• Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition
• Blow-up estimates for system of heat equations coupled via nonlinear boundary flux
• Blow-up rates for parabolic systems
• Note on non-simultaneous blow-up for a reaction-diffusion system
• 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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