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

页码：611 / 614

页数：4

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