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Blow-up solution for the degeneratequasilinear parabolic system with nonlinear boundary condition

✍ Scribed by Zhi-Wen Duan; Chun-Hong Xie; Li Zhou

Book ID
108076966
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
916 KB
Volume
50
Category
Article
ISSN
0898-1221

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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