Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/11155
Title: Asymptotic nonlinear stability of traveling waves to conservation laws arising from chemotaxis
Authors: Li, T
Wang, ZA 
Keywords: Chemotaxis
Conservation law
Energy estimates
Keller-Segel model
Large amplitude
Nonlinear stability
Traveling waves
Issue Date: 2011
Publisher: Academic Press
Source: Journal of differential equations, 2011, v. 250, no. 3, p. 1310-1333 How to cite?
Journal: Journal of differential equations 
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.
URI: http://hdl.handle.net/10397/11155
ISSN: 0022-0396
DOI: 10.1016/j.jde.2010.09.020
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