Boundary Value Problems
Volume 2007 (2007), Article ID 75258, 7 pages
doi:10.1155/2007/75258
Research Article
Simultaneous versus Nonsimultaneous Blowup for a System of Heat Equations Coupled Boundary Flux
1Department of Mathematics, Jincheng College of Sichuan University, Chengdu 611731, China
2Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China
3School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China
Received 5 November 2006; Revised 18 January 2007; Accepted 23 March 2007
Academic Editor: Gary M. Lieberman
Copyright © 2007 Mingshu Fan and Lili Du. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper deals with a semilinear parabolic system
in a bounded interval, completely coupled at the boundary with
exponential type. We characterize completely the range of parameters
for which nonsimultaneous and simultaneous blowup occur.