Zu Chongzhi Research Seminar

Date and Time (China standard time): Friday, July 17, 10:00 AM – 11:00 AM

Location: WDR 1007

Zoom: 983 6977 5853, Passcode: dkumath

Title: 2D Euler Steady states and semi-linear elliptic equation

Speaker: Yupei Huang, Imperial College London

Abstract: It is known through numerical simulations and physical experiments, generic solutions of the 2D Euler equations should develop coherent structures as time goes to infinity. Based on the above observations,  Šverák and Shnirelman have made several conjectures concerning global behaviors of solutions to 2D Euler equations. A key part in solving the above conjectures is to understand the topological behaviors of steady states. In this talk, I will mainly discuss the connection between the steady states and semi-linear elliptic equations, both in the rigidity and flexibility aspects.

Bio: Yupei holds a B.Sc. (Honors) in Mathematics from Shanghai Jiao Tong University and a Ph.D. in Mathematics from Duke University under the supervision of Tarek Elgindi. He is currently a Research Associate at Imperial College London.

His research focuses on the mathematical analysis of models arising from fluid mechanics, particularly on understanding the structure and dynamics of steady and unsteady flows governed by the incompressible Euler equations.