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

Day: Tuesday 17 June 2025, Time: 8:45 am - 10 am (Vietnam time)

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https://zoom.us/j/95214418787?pwd=UpyYLqvvj4hsHYS1D1JnlmLzlAIuPh.1

Meeting ID: 952 1441 8787
Passcode: 123456

Organizer: Hoang The Tuan and Pham Truong Xuan

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 Laurençot (University of Savoie Mont Blanc & CNRS), Yanyan Zhang (ECNU), and Yamin Xiao (HEBTU), respectively.