Blow-up rate estimates for a doubly coupled reaction-diffusion system

被引：5

作者：

Zheng, SN ^{[1
]}

Liu, BC ^{[1
]}

Li, FJ ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 312卷 / 02期

基金：

中国国家自然科学基金;

关键词：

reaction-diffusion system; characteristic algebraic system; blow-up rate;

D O I：

10.1016/j.jmaa.2005.03.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a reaction-diffusion system with coupled nonlinear inner sources and a nonlinear boundary flux. Blow-up rates are determined for four different blow-up situations. The so-called characteristic algebraic system is introduced to get a very simple and clear description for the desired blow-up rate estimates. It is pointed out that one cannot directly use super and sub-solutions to establish blow-up rate estimates, since they do not share the same blow-up time in general. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：576 / 595

页数：20

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