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.
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页码：576 / 595
页数：20
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