Blow-up for a degenerate reaction-diffusion system with nonlinear nonlocal sources

被引：29

作者：

Du, Lili ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] S China Univ Technol, Sch Math Sci, Guangzhou 510640, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 202卷 / 02期

关键词：

global existence-; blow-up; blow-up rate; degenerate reaction-diffusion system;

D O I：

10.1016/j.cam.2006.02.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the global existence and blow-up of nonnegative solution of the system u(1) = Delta u(m) + u(p1) integral(Omega)v(q1) dx, v(1) = Delta v(n) + v(p2) integral(Omega)u(q2)dx, (x, t) epsilon Omega X (0, T) with homogeneous Dirichlet boundary conditions, where Omega subset of R-N is a bounded domain with smooth boundary partial derivative Omega, m, n > 1, p(1), p(2). q(1). q(2) > 0. The results depend crucially on the number p(i), q(j), m, n, the domain Omega and the initial data u(0)(x), v(0)(x). Moreover, we obtain the blow-up rate of the blow-up solution under some appropriate hypotheses. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：237 / 247

页数：11

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