Global blow-up in a degenerate and strongly coupled parabolic system with localized sources

被引：2

作者：

Zhou, Shuangshuang ^{[1
]}

Zheng, Sining ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Degenerate parabolic system; Strongly coupled; Localized sources; Global blow-up; EQUATION;

D O I：

10.1016/j.camwa.2010.08.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate positive solutions of the strongly coupled degenerate parabolic system with localized sources u(t) = v(p)(Delta u + af(u(x(0), t))), v(t) = u(q) (Delta v + bg(v(x(0), t))), subject to null Dirichlet boundary conditions. The conditions for global and non-global solutions are determined respectively. Furthermore, it is proved for radial blow-up solutions that the blow-up set consists of the whole domain. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2564 / 2571

页数：8

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