Stabilization and convergence rate in a chemotaxis system with consumption of chemoattractant

被引：59

作者：

Zhang, Qingshan ^{[1
]}

Li, Yuxiang ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 211189, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 08期

基金：

中国国家自然科学基金;

关键词：

GLOBAL EXISTENCE; STOKES SYSTEM; FLUID MODEL; DIFFUSION; EQUATIONS;

D O I：

10.1063/1.4929658

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider chemotaxis system with consumption of chemoattractant {u(t)=Delta u - chi del . (u del v), v(t)=Delta v-uv, under homogeneous Neumann boundary conditions. It is proved that if either n <= 2 or 0 < chi <= 1/6(n+1)||v(x,0)||(L)infinity((Omega)), n >= 3, the global classical solution ( u, v) of this problem converges to (<(u(0))over bar>,0) exponentially as t ->infinity, where (u(0)) over bar:= i/|Omega| integral(Omega)u(x,0)dx. (C) 2015 AIP Publishing LLC.

引用

页数：10

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