Speaker：Prof. Zhang Zhifei

         Beijing University

Title: Scaling invariant Serrin criterion via one velocity component for the Navier-Stokes equations

Time：6^th, Dec., 2020, 09:00

Location：实验楼105 (线下)

Abstract:

Whether the 3-D Navier-Stokes equations can develop the singularity in a finite time is a challenging problem. The well-known Ladyzhenskaya-Prodi-Serrin criterion says that if Leray weak solution belongs to the Serrin class, then it is smooth. In this talk, I will introduce a scaling invariant Serrin type criterion via one velocity component. In particular, this result implies that if the solution blows up at some time, then all three components of the velocity must blow up at the same time. This a joint work with Wendong Wang and Di Wu.

Speaker Introduction：

章志飞，博士，北京大学数学科学学院博雅特聘教授、博士生导师、副院长。2013年入选中组部首批青年拔尖人才支持计划，2014年获国家杰出青年科学基金，2017年入选教育部长江学者特聘教授和科技部中青年科技创新领军人才，2019年入选中组部国家特支科技创新领军人才。主要研究领域是偏微分方程，取得了一系列国际领先的重要研究成果，论文发表在CPAM、CMP、ARMA、Ann.PDE、Ann. Sci. Éc. Norm. Supér.、Adv. Math.、JMPA、JFA等国际重要数学期刊。