Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/14796
Title: Nonlinear stability of large amplitude viscous shock waves of a generalized hyperbolic-parabolic system arising in chemotaxis
Authors: Li, T
Wang, ZA 
Keywords: Nonlinear conservation laws
Nonlinear stability
Chemotaxis
Traveling waves
Non-diffusive signals
Large amplitude
Nonlinear kinetics
Energy estimates
Shizuta-Kawashima condition
Issue Date: 2010
Publisher: World Scientific Publ Co Pte Ltd
Source: Mathematical models and methods in applied sciences, 2010, v. 20, no. 11, p. 1967-1998 How to cite?
Journal: Mathematical Models & Methods in Applied Sciences 
Abstract: Traveling wave (band) behavior driven by chemotaxis was observed experimentally by Adler(1,2) and was modeled by Keller and Segel.15 For a quasilinear hyperbolic parabolic system that arises as a non-diffusive limit of the Keller-Segel model with nonlinear kinetics, we establish the existence and nonlinear stability of traveling wave solutions with large amplitudes. The numerical simulations are performed to show the stability of the traveling waves under various perturbations.
URI: http://hdl.handle.net/10397/14796
ISSN: 0218-2025
DOI: 10.1142/S0218202510004830
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