Special Session 18: 
Spectral Stability of Traveling Waves for Keller-Segel Chemotactic Model
Yi Li
California State University, Northridge
USA
Co-Author(s):    Yong Li (Beijing University of Technology) and Yaping Wu (Capital Normal University)
Abstract:
The stability of traveling waves for Keller-Segel model with chemo- taxis is considered. In addition, we will discuss 1) Known results on existence and stability of waves; 2) Local existence and uniqueness of classical solutions; 3) Spectral analysis in weighted spaces; 4) Existence and analyticity of Evans function; 5) Theoretical estimates and numerical simulation on Evans Function.
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