Analysis and PDE|Enhanced dissipation and transition threshold for the Kolmogorov flow
Title: Enhanced dissipation and transition threshold for the Kolmogorov flow
Speaker: ZHANG Zhifei(北京大学太阳成集团tyc411)
Time: 2019-12-4, 15:45-16:45
Location: 200-9, Sir Shaw Run Run Business Administration building, School of Mathematical Sciences, Yuquan Campus
Abstract: In this talk, I will introduce three approaches(resolvent estimate method, wave operator method and hypocoercivity method) to prove the enhanced dissipation estimates for the linearized 2D(3D) Navier-Stokes equations around the Kolmogorov flow at high Reynolds number regime. These estimates play an important role in the hydrodynamic stability of Kolmogorov flow.
个人简介: 章志飞,北京大学博雅特聘教授,主要从事偏微分方程的理论研究,在流体力学方程的自由边值问题、Navier-Stokes方程的适定性和稳定性理论、以及液晶中的数学问题等方面取得了一系列重要的研究成果。他已在CPAM, CMP, ARMA, JFA等著名数学刊物上发表学术论文90余篇。 2011年入选教育部新世纪优秀人才,2012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领军人才
Contact Person: WANG Meng, (mathdreamcn@zju.edu.cn)