BLOW-UP ESTIMATES OF POSITIVE SOLUTIONS OF A REACTION-DIFFUSION SYSTEM

被引：0

作者：

Chen, Hongwei ^{[1
]}

机构：

[1] Christopher Newport Univ, Dept Math, Newport News, VA 23606 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年

关键词：

Reaction-diffusion systems; a priori estimates; blow-up rate; asymptotic behavior;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with positive solutions of the reaction-diffusion system u(t) - Delta u = u(m1)v(n1) , v(t) - Delta v = u(m2)v(n2) which blow up at t = T. We obtain the following estimates on the blow-up rates: c(T- t)(-(n1-n2+1)/gamma) <= max(x is an element of Omega) u(x, t) <= C(T-t)(-(n1-n2+1)/gamma) c(T- t)(-(m2-m1+1)/gamma) <= max(x is an element of Omega) v(x, t) <= C(T-t)(-(m2-m1+1)/gamma) for some positive constants c,C and gamma = m(2)n(1), -(1 - m(1))(1 - n(2)).

引用

页码：182 / 188

页数：7

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