一、题目

Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains

二、主讲人

吴杰

三、摘要

We investigate the problem of classification of solutions for the 2D steady Navier-Stokes equations in any cone-like domains. When the solutions are of separated variables in the polar coordinates, we obtain the expressions of all smooth solutions with continuous Dirichlet boundary condition. In particular, we find some solutions which are Holder continuous on the boundary but their gradients blow up at the corner, we show that all solutions in the entire planemust be polynomials, and asharp Liouville type theorem is also proved. This is a joint work with Professor Wendong Wang.

四、主讲人简介

吴杰，天津大学应用数学中心副教授，主要从事偏微分方程的研究，对线性抛物型偏微分方程的反向唯一性有深入的研究，取得了重要进展，成果发表在Adv.Math, CVPDE等。

五、邀请人

陶涛 数学学院副教授

六、时间

9月28日（周二）15:00-16:00

七、地点

腾讯会议 会议号：419 158 189

八、主办方

山东大学数学学院