Academic Report of School of Mathematical Sciences [2025] No. 116

(Series Report for High-Level University Construction No. 1218)

Title: Nonlinear stability for 3-D plane Poiseuille flow in a finite channel

Speaker: Researcher Lin Zhilin (South China Normal University)

Time: 9:00-10:00, November 11, 2025 (Tuesday)

Location: Huiwen Building Room 2331

Abstract:

In this talk, we will introduce the nonlinear stability and transition threshold problem for 3-D plane Poiseuille flow in a finite channel with non-slip boundary condition. Based on the resolvent estimates and space-time estimates, the nonlinear stability for the 3-D plane Poiseuille flow is established, and the transition threshold is accordant with the numerical result by Lundbladh et al. in 1994. This talk is based on a joint work with Prof. Qi Chen, Prof. Shijin Ding and Prof. Zhifei Zhang.

Speaker Profile:

Lin Zhilin is a Distinguished Researcher at the School of Mathematical Sciences, South China Normal University. His main research focuses on the theoretical study of partial differential equations, with related results published in journals such as SIMA and JDE.

Host: Zhao Jiacheng

All faculty and students are welcome!

School of Mathematical Sciences

November 10, 2025