School of Mathematical Sciences, Shenzhen University

Li Yuan Scholars Colloquium No. 136

Lecture Title: Global Solution of 3-D Keller-Segel Model with Couette Flow in Whole Space

Speaker: Prof. Weike Wang (Distinguished Professor, School of Mathematical Sciences, Shanghai Jiao Tong University)

Date & Time: June 30, 2025, 4:30–5:30 PM

Venue: Room 1, Huijing Building, Yuehai Campus, Shenzhen University

Abstract: We introduce both the parabolic-elliptic Keller-Segel model and the parabolic-parabolic Keller-Segel model in the background of a Couette flow with spatial variables in R

3. It is proved that for both parabolic-elliptic and parabolic-parabolic cases, a Couette flow with a sufficiently large amplitude prevents the blow-up of solutions. Here, we apply Green’s function method to capture the suppression of blow-up and prove the global existence of the solutions.

Biography: Prof. Weike Wang is a Distinguished Professor at the School of Mathematical Sciences, Shanghai Jiao Tong University, and Deputy Dean of the Natural Sciences Academy at the university. He serves as a Co-Editor-in-Chief for the international journal Communications on Pure and Applied Analysis and is a Director of the Shanghai Society for Industrial and Applied Mathematics. From 1997 to 2000, he served as Dean of the Department of Mathematics and Dean of the School of Mathematics and Computer Science at Wuhan University. From 2002 to 2009, he was Dean of the Department of Mathematics at Shanghai Jiao Tong University. Prof. Wang received the Shanghai University Teaching Master Award in 2011, the First Prize in Natural Sciences from Shanghai in 2011, and the Baogang Outstanding Teacher Special Award Nomination in 2014.

All faculty and students are welcome!

Invited by: School of Mathematical Sciences

School of Mathematical Sciences

June 27, 2025