Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609260 | Journal of Differential Equations | 2016 | 19 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Tong Li, Hailiang Liu, Lihe Wang,