Total versus single point blow-up in a localized heat system

被引：0
作者：
Jinhuan Wang
Sining Zheng
机构：
[1] Liaoning University,Department of Mathematics
[2] Dalian University of Technology,School of Mathematical Sciences
来源：
Frontiers of Mathematics in China | 2010年 / 5卷
关键词：
Localized source; total blow-up; single point blow-up; blow-up set; simultaneous blow-up; non-simultaneous blow-up; 35K55; 35B33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers a heat system with localized sources and local couplings subject to null Dirichlet boundary conditions, for which both total and single point blow-up are possible. The aim of the paper is to identify the total and single point blow-up via a complete classification for all the nonlinear parameters in the model. As preliminaries of the paper, simultaneous versus non-simultaneous blow-up of solutions is involved, too. The results are then compared with those for another kind of heat system coupled via localized sources in a previous paper of the authors.
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页码：341 / 359
页数：18
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