There will be an invited talk.

Title: Hyperbolic-parabolic PDE Models of Chemotaxis
Speaker: Tong Li (Univ. of Iowa)
Time: 2022 December 23th, 15:30 ~ 16:20
Place: 27-325
Abstract:
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.