Blow-up phenomena for a nonlinear reaction-diffusion system with time dependent coefficients

被引：16

作者：

Tao, Xueyan ^{[1
]}

Fang, Zhong Bo ^{[2
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Reaction-diffusion system; Time dependent coefficient; Bounds for the blow-up time; BOUNDARY-CONDITIONS; PARABOLIC PROBLEMS; EQUATION; MODEL; FLUX;

D O I：

10.1016/j.camwa.2017.07.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the blow-up phenomena for the solution to a nonlinear reaction-diffusion system with time dependent coefficients subject to null Dirichlet boundary conditions. By virtue of Kaplan's method, method of subsolutions and supersolutions and modified differential inequality technique, we establish the blow-up criteria for the solution. Moreover, lower and upper bounds for the blow-up time are derived. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：2520 / 2528

页数：9

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