Global existence of classical solutionsfor a hyperbolic chemotaxis model and its parabolic limit

被引：14

作者：

Hwang, HJ

Kang, K

Stevens, A

机构：

[1] Duke Univ, Dept Math, Durham, NC 27708 USA

[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[3] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 2006年 / 55卷 / 01期

关键词：

chemotaxis; hyperbolic model; global existence; parabolic limit;

D O I：

10.1512/iumj.2006.55.2677

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a one dimensional hyperbolic system for chemosensitive movement, especially for chemotactic behavior. The model consists of two hyperbolic differential equations for the chemotactic species and is coupled with either a parabolic or an elliptic equation for the dynamics of the external chemical signal. The speed of the chemotactic species is allowed to depend on the external signal and the turning rates may depend on the signal and its gradients in space and time, as observed in experiments. Global classical solutions are established for regular initial data and a parabolic limit is proved.

引用

页码：289 / 316

页数：28

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