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

✍ Scribed by Lin Zhigui; Xie Chunhong; Wang Mingxin

Book ID
107502118
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
1998
Tongue
English
Weight
319 KB
Volume
13
Category
Article
ISSN
1005-1031

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πŸ“œ SIMILAR VOLUMES

Blow-up analysis for a system of heat eq
Blow-up analysis for a system of heat equations coupled via nonlinear boundary conditions
✍ Xianfa Song πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 128 KB πŸ‘ 1 views

## Abstract In this paper, we study a system of heat equations $u\_t=\Delta u, \, v\_t=\Delta v\,{\rm in}\,\Omega\times(0,T)$ coupled __via__ nonlinear boundary conditions Here __p__, __q__>0. We prove that the solutions always blow up in finite time for non‐trivial and non‐negative initial value