Journal article
Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
Journal of Differential Equations, Vol.250(3), pp.1310-1333
02/01/2011
DOI: 10.1016/j.jde.2010.09.020
Abstract
In this paper, we establish the existence and the nonlinear stability of traveling wave solutions to a system of conservation laws which is transformed, by a change of variable, from the well-known Keller-Segel model describing cell (bacteria) movement toward the concentration gradient of the chemical that is consumed by the cells. We prove the existence of traveling fronts by the phase plane analysis and show the asymptotic nonlinear stability of traveling wave solutions without the smallness assumption on the wave strengths by the method of energy estimates. (C) 2010 Elsevier Inc. All rights reserved.
Details
- Title: Subtitle
- Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
- Creators
- Tong Li - University of IowaZhi-An Wang - Hong Kong Polytechnic University
- Resource Type
- Journal article
- Publication Details
- Journal of Differential Equations, Vol.250(3), pp.1310-1333
- DOI
- 10.1016/j.jde.2010.09.020
- ISSN
- 0022-0396
- eISSN
- 1090-2732
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Number of pages
- 24
- Grant note
- Hong Kong Polytechnic University; Hong Kong Polytechnic University Vanderbilt University
- Language
- English
- Date published
- 02/01/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9984240768302771
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