The blow-up property for a system of heat equations with nonlinear boundary conditions

DOI10.1007/S11766-998-0020-8zbMath0920.35081OpenAlexW25488507MaRDI QIDQ1272726

Mingxin Wang, Zhigui Lin, Chunhong Xie

Publication date: 23 March 1999

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-998-0020-8

zbMATH Keywords

self-similar solutionblow-up only occurs on the boundaryexact blow-up rates

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)

Related Items (1)

The blow-up rate for a strongly coupled system of semilinear heat equations with nonlinear boundary conditions

Cites Work

• Unnamed Item
• Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
• Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
• Asymptotically self‐similar blow‐up of semilinear heat equations
• A potential well theory for the heat equation with a nonlinear boundary condition
• The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
• Global existence and blow‐up for a system of heat equations with non‐linear boundary conditions
• The blow‐up rate for the heat equation with a non‐linear boundary condition

This page was built for publication: The blow-up property for a system of heat equations with nonlinear boundary conditions