Neumann problem for reaction-diffusion systems with nonlocal nonlinear sources

被引：11

作者：

Xiang, ZY

Hu, XG

Mu, CL

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[2] China W Normal Univ, Dept Math, Nanchong 637002, Peoples R China

[3] Chongqing Univ Posts & Telecommun, Chongqing 400065, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 07期

基金：

中国国家自然科学基金;

关键词：

diffusion system; nonlocal source; global existence and blowup; blow-up estimates;

D O I：

10.1016/j.na.2005.01.098

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the Neumann problem for several types of systems with nonlocal nonlinear terms. We first give the blow-up conditions. And then, for the blow-up solution, we establish the precise blow-up estimates and show the blow-up set is the whole region. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1209 / 1224

页数：16

共 19 条

[1]

Bebernes J., 1989, MATH PROBLEMS COMBUS

[2]

BIMPONGB.K, 1974, J CHEM PHYS, V60, P3124, DOI 10.1063/1.1681498

[3] A CLASS OF NON-LINEAR NON-CLASSICAL PARABOLIC EQUATIONS [J].