Asymptotic profile of quenching in a system of heat equations coupled at the boundary

zbMath1273.35055MaRDI QIDQ1951964

Zhengce Zhang, Yan-Yan Li

Publication date: 24 May 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1355926889

zbMATH Keywords

radial solutionsfinite time quenchingquenching setsimultaneous and non-simultaneous quenchingsimultaneous quenching profiles

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• The blowup property of solutions to some diffusion equations with localized nonlinear reactions
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Quenching for a nonlinear diffusion equation with a singular boundary condition
• On solutions of a singular diffusion equation
• Nonsimultaneous quenching
• Non-simultaneous quenching in a system of heat equations coupled at the boundary
• Quenching rates for heat equations with coupled singular nonlinear boundary flux
• Quenching phenomena for singular nonlinear parabolic equations
• Quenching on the boundary
• The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition

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