Oscillatory traveling wave solutions to an attractive chemotaxis system

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:261

Article

Li, Tong¹  Liu, Hailiang²  Wang, Lihe¹ 

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Iowa State Univ, Dept Math, Ames, IA 50011 USA

关键词: Chemotaxis;    Mixed-type;    Existence;    Oscillatory traveling waves;    Phase plane method;    Linear instability;   

DOI  :  10.1016/j.jde.2016.09.012

来源: Elsevier

【 摘 要 】

This paper investigates oscillatory traveling wave solutions to an attractive chemotaxis system. The convective part of this system changes its type when crossing a parabola in the phase space. The oscillatory nature of the traveling wave comes from the fact that one far-field state is in the elliptic region and another in the hyperbolic region. Such traveling wave solutions are shown to be linearly unstable. Detailed construction of some traveling wave solutions is presented. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free