Blow-up estimates for system of heat equations coupled via nonlinear boundary flux

被引：16

作者：

Zhao, LZ ^{[1
]}

Zheng, SN ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 54卷 / 02期

基金：

中国国家自然科学基金;

关键词：

blow-up; blow-up rates; blow-up sets; heat equations; nonlinear boundary flux;

D O I：

10.1016/S0362-546X(03)00060-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a system of heat equations coupled via nonlinear boundary flux. The precise blow-up rate estimates are established together with the blow-up set. It is observed that there is some quantitative relationship regarding the blow-up properties between the heat system with coupled nonlinear boundary flux terms and the corresponding reaction-diffusion system with the same nonlinear terms as the source. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：251 / 259

页数：9

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