OSU Mathematics Seminars and Colloquia
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Thu, Nov 08, 2018
Computational and Applied Math Seminar
3:30 PM
MSCS 514
Analysis of PDEs Modeling Chemotaxis
Prof. Tong Li, University of Iowa
Host: Weiwei Hu
[Abstract] [PDF]
Abstract: We review results on global existence and long time behavior of solutions for PDE models of chemotaxis. In particular, we present the existence and the stability of large-amplitude traveling wave solutions to a system of nonlinear conservation laws derived from the classical Keller-Segel model for the repulsive chemotaxis. While in the attractive chemotaxis case, we found oscillatory traveling wave solutions which are biologically relevant. Results on initial boundary value problems will also be presented.
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