Journal article
Oscillatory traveling wave solutions to an attractive chemotaxis system
Journal of Differential Equations, Vol.261(12), pp.7080-7098
12/15/2016
DOI: 10.1016/j.jde.2016.09.012
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.
Details
- Title: Subtitle
- Oscillatory traveling wave solutions to an attractive chemotaxis system
- Creators
- Tong Li - University of IowaHailiang Liu - Iowa State UniversityLihe Wang - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of Differential Equations, Vol.261(12), pp.7080-7098
- DOI
- 10.1016/j.jde.2016.09.012
- ISSN
- 0022-0396
- eISSN
- 1090-2732
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/100000001, name: National Science Foundation, award: DMS1312636; DOI: 10.13039/100000001, name: National Science Foundation, award: 1107291
- Language
- English
- Date published
- 12/15/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984240766802771
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