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

共 50 条

[1] Blow-up rate estimates for a system of reaction-diffusion equations with absorption
Xiang, Zhaoyin
Chen, Qiong
Mu, Chunlai
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (04) : 779 - 786
[2] Blow-Up Estimates for a Quasilinear Reaction-diffusion System
河南师范大学学报(自然科学版), 2001, (02) : 122 - 123
[3] Blow-Up Rate Estimates for a System of Reaction-Diffusion Equations with Gradient Terms
Rasheed, Maan A.
Al-Dujaly, Hassan Abd Salman
Aldhlki, Talat Jassim
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2019, 2019
[4] BLOW-UP ESTIMATES OF POSITIVE SOLUTIONS OF A REACTION-DIFFUSION SYSTEM
Chen, Hongwei
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, : 182 - 188
[5] Universal bounds and blow-up estimates for a reaction-diffusion system
Nejib Mahmoudi
Boundary Value Problems, 2015
[6] Universal bounds and blow-up estimates for a reaction-diffusion system
Mahmoudi, Nejib
BOUNDARY VALUE PROBLEMS, 2015, : 1 - 14
[7] Blow-up estimates for a quasi-linear reaction-diffusion system
Yang, ZD
Lu, QS
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2003, 26 (12) : 1005 - 1023
[8] Blow-up and blow-up rate for a reaction-diffusion model with multiple nonlinearities
Song, XF
Zheng, SN
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (02) : 279 - 289
[9] The blow-up for weakly coupled reaction-diffusion systems
Wang, LW
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (01) : 89 - 95
[10] BLOW-UP RESULTS FOR A REACTION-DIFFUSION SYSTEM
Yamauchi, Yusuke
METHODS AND APPLICATIONS OF ANALYSIS, 2006, 13 (04) : 337 - 350

← 1 2 3 4 5 →