A note on blow-up analysis for a system of semilinear parabolic equations

被引：1
|
作者：
An, Xiaowei [2 ]
Song, Xianfa [1 ]
机构：
[1] Tianjin Univ, Sch Sci, Dept Math, Tianjin 300072, Peoples R China
[2] Chinese Peoples Armed Police Forces Acad, Dept Basic Curriculum, Langfang 065000, He Bei, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 01期
关键词：
System of semilinear parabolic equations; Maximum principle; Blow-up rate; HEAT-EQUATIONS;
D O I：
10.1016/j.nonrwa.2010.07.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the behavior of the positive solutions to a semilinear parabolic system u(t) = Delta u + e(p nu)u(alpha) and nu(t) = Delta nu + u(q)e(beta nu) with null Dirichlet boundary conditions. We prove that the solutions will blow up in finite time and establish the exact blow-up rates under some conditions. (c) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：611 / 614
页数：4
相关论文
共 50 条
12345