Title: On a Keller-Segel Chemotaxis Model with Signal-dependent Motility

Speaker: 江杰（中国科学院）

Time: Thursday, November 13, 2025, 15:00--16:00

Venue: 腾讯会议：679-317-928 ，会议密码：251112

Abstract: 

We report our recent work on analysis of a chemotaxis PDE model involving signal-dependent motility, which was originally proposed by Keller and Segel in their seminal work in 1971.

The system features a signal-dependent motility function (diffusion rate), which may vanish or explode as the signal concentration becomes unbounded. We develop systematic new methods to study its global well-posedness and qualitative behavior of classical solutions. The key idea consists of an introduction of several auxiliary functions satisfying elliptic/parabolic problems, together with delicate applications of various comparison skills.

The talk is based on my recent joint works with Kentaro Fujie (Tohoku University), Philippe Lauren?ot (University of Savoie Mont Blanc & CNRS), Yanyan Zhang (ECNU), and Yamin Xiao (HEBTU), respectively.