## 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 nonβtrivial and nonβnegative initial value
β¦ LIBER β¦
Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition
β Scribed by M. Pedersen; Zhigui Lin
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 319 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Blow-up analysis for a system of heat eq
β
Xianfa Song
π
Article
π
2007
π
John Wiley and Sons
π
English
β 128 KB
π 1 views
Blow-up estimates for system of heat equ
β
Lizhong Zhao; Sining Zheng
π
Article
π
2003
π
Elsevier Science
π
English
β 124 KB
The blow-up rate for a system of heat eq
β
Lin Zhigui; Xie Chunhong
π
Article
π
1998
π
Elsevier Science
π
English
β 92 KB
Blow-up analysis for a nonlinear diffusi
β
Zhaoxin Jiang; Sining Zheng; Xianfa Song
π
Article
π
2004
π
Elsevier Science
π
English
β 391 KB
In this paper, the blow-up rate for a nonlinear diffusion equation with a nonlinear boundary condition is established together with the necessary and sufficient blow-up conditions.
The Blow-Up Rate for a Strongly Coupled
β
Chunlai Mu; Shaoyong Lai
π
Article
π
2001
π
Elsevier Science
π
English
β 106 KB
The paper deals with the blow-up rate of positive solutions to the system l 11 l 12 l 21 l 22 Ε½ . u s u q u Β¨, Β¨s Β¨q u Β¨with boundary conditions u 1, t s t x x t x x x Ε½ p 11 p 12 .Ε½ . Ε½ . Ε½ p 21 p 22 .Ε½ . u Β¨1, t and Β¨1, t s u Β¨1, t . Under some assumptions on the x Ε½ . Ε½ . Ε½ . matrices L s l and
Blow-up phenomena for a semilinear heat
β
L.E. Payne; G.A. Philippin; S. Vernier Piro
π
Article
π
2010
π
Elsevier Science
π
English
β 302 KB