Speaker: Selim Sukhtaiev (Auburn University)
Title: Well-Posedness, Stability, and Bifurcation for Keller-Segel Models on Compact Graphs
Abstract: In this talk, we will discuss the Keller-Segel model describing various chemotaxis processes. The system of PDEs in question is a pair of reaction-advection-diffusion equations of parabolic and elliptic type. The first part of the talk will center around well-posedness of this system on arbitrary compact metric graphs. In the second part of the talk, we will focus on asymptotic stability, instability, and bifurcation of steady state solutions of parabolic-parabolic and parabolic-elliptic chemotaxis models. This is joint work with Hewan Shemtaga (Auburn) and Wenxian Shen (Auburn).
Lunch: before the talk at 12pm at Shawarma Joint.