Blow-up phenomena for a system of semilinear parabolic equations with nonlinear boundary conditions

被引：21

作者：

Baghaei, Khadijeh ^{[1
]}

Hesaaraki, Mahmoud ^{[2
]}

机构：

[1] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

[2] Sharif Univ Technol, Dept Math, Tehran, Iran

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2015年 / 38卷 / 03期

关键词：

semilinear parabolic equations; nonlinear boundary conditions; blow-up; REACTION-DIFFUSION SYSTEM; GLOBAL EXISTENCE; EVOLUTION-EQUATIONS; HEAT-EQUATIONS; TIME; FLUX;

D O I：

10.1002/mma.3085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the blow-up phenomena for a system of parabolic equations with nonlinear boundary conditions. We show that under some conditions on the nonlinearities, blow-up occurs at some finite time. We also obtain upper and lower bounds for the blow-up time when blow-up occurs. Copyright (c) 2014 John Wiley & Sons, Ltd.

引用

页码：527 / 536

页数：10

共 21 条

[1] PARABOLIC EVOLUTION-EQUATIONS AND NONLINEAR BOUNDARY-CONDITIONS [J].