Speaker: Wang Wendong, Professor, Doctoral Supervisor, School of Mathematical Sciences, Dalian University of Technology

Date: May 16, 2023

Time: 10:30-12:00

Location: Zhixin Building, Block B, 926

Sponsor: School of Mathematics, Shandong University

Abstract:

In this topic we will focus on Liouville theorems and classication of solutions for the steady Navier-Stokes equations. Firstly, we will review some basic tools and techniques including Bogovskii maps; Secondly, we describe the progress of some two-dimensional Navier-Stokes equations, including the Liouville theorem, the decay or classification estimation of solutions; Once again, for the three-dimensional equations, we will describe some major developments, including some uniqueness results depending on velocity, total pressure, or potential functions; Finally, we will discuss it from decay estimates or different regions. This is a series of joint work with Seregin, J. Wu et al.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/179405.htm