Asymptotic behavior for a reaction-diffusion equation with inner absorption and boundary flux

被引：8
|
作者：
Zheng, Sining [1 ]
Li, Fengjie [1 ]
Liu, Bingchen [1 ]
机构：
[1] Dalian Univ Technol, Dept Math Appl, Dalian 116024, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 09期
基金：
中国国家自然科学基金;
关键词：
blow-up rate; blow-up profile; asymptotic behavior; reaction-diffusion;
D O I：
10.1016/j.aml.2005.11.009
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 equation with inner absorption and boundary flux of exponential forms. The blow-up rate is determined with the blow-up set, and the blow-up profile near the blow-up time is obtained by the Giga-Kohn method. It is observed that the blow-up rate and profile are independent of the nonlinear absorption term. (c) 2005 Elsevier Ltd. All rights reserved.
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页码：942 / 948
页数：7
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