Stability of constant steady states and existence of unbounded solutions in time to a reaction-diffusion equation modelling chemotaxis

被引：5

作者：

Nagai, T ^{[1
]}

Nakaki, T

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398526, Japan

[2] Kyushu Univ, Fac Math, Fukuoka 8128581, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 58卷 / 5-6期

关键词：

reaction-diffusion equations; chemotaxis; stability of steady states; unbounded solutions;

D O I：

10.1016/j.na.2003.11.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the initial boundary value problem to a reaction-diffusion equation modelling chemotaxis in one space-dimension under Neumann boundary conditions. We study the stability of constant steady states and show that there exists an unbounded solution in time induced by the instability of constant steady states. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：657 / 681

页数：25

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