Date | 2022-12-23 |
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Speaker | Tong Li |
Dept. | Department of Math, The University of Iowa |
Room | 27-325 |
Time | 15:30-16:20 |
We study global existence and long-time behavior of solutions for hyperbolic-parabolic PDE models of chemotaxis. We show the existence and the stability of traveling wave solutions to a system of nonlinear conservation laws derived from the Keller-Segel model.
Traveling wave solutions of chemotaxis models with growth are also investigated. Moreover, we find oscillatory traveling wave solutions to an attractive chemotaxis system which are biologically relevant.