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On the spatial blow-up and decay for some nonlinear parabolic equations with nonlinear boundary conditions

✍ Scribed by R. Quintanilla

Publisher
Springer
Year
2006
Tongue
English
Weight
157 KB
Volume
57
Category
Article
ISSN
0044-2275

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πŸ“œ SIMILAR VOLUMES

Blow-up rates for semilinear parabolic s
Blow-up rates for semilinear parabolic systems with nonlinear boundary conditions
✍ Mingxin Wang πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 398 KB

## This paper deals with the blow-up rate estimates of positive solutions for semilinear parabolic systems with nonlinear boundary conditions. The upper and lower bounds of blow-up rates are obtained.

Blow-up solutions for a class of nonline
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✍ Juntang Ding πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 119 KB

In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =βˆ‡(a(u)βˆ‡u) + f(x; u; q; t) (q = |βˆ‡u| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio