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College Colloquium-Instability analysis on compressible Navier-Stokes equations with strong boundary layer

发布日期:2022-05-05点击数:

报告人:杨彤(香港城市大学)

时间2022年05月06日15:05开始

腾讯会议ID:591 753 125


摘要:It is a classical problem in fluid dynamics about the stability and instability of different hydrodynamic patterns in various physical settings, in particular in the high Reynolds number limit of laminar flow with boundary layer. However, there are very few mathematical results on the compressible fluid despite the extensive studies when the fluid is governed by the incompressible Navier-Stokes equations. In this talk, we will present a new approach to study the compressible Navier-Stokes equations in the subsonic and high Reynolds number regime where a subtle quasi-compressible and Stokes iteration is developed. As a byproduct, we show the spectral instability of subsonic boundary layer. The is a joint project with Zhu Zhang.


简介:杨彤,香港城市大学讲座教授。主要研究方向Conservation laws、Boltzmann equation、Boundary layer theories。Member, Hong Kong Academy of Sciences, 2021.  Member, The World Academy of Sciences, 2021.  American Mathematical Society Fellow, 2021.  Ministry of Education Higher Education Outstanding Scientific Research Output Award(Science and Technology), China (First Prize), 2019.  Member, the European Academy of Sciences, 2018.  The President’s Award, City University of Hong Kong, 2015 and 2016.  State Natural Science Award (2nd class), P.R. China, 2012.   Changjiang Chair Professorship, the Ministry of Education of China, 2005.   National Science Fund for Distinguished Young Scholars, 2004.  Morningside Silver Medal of Mathematics, ICCM, 1998。已在JAMS、CPAM、JEMS、Adv. Math.CMP、ARMA、Ann. I. H. Poincare、JFA、SIJMA、JDE、CPDE等数学期刊上发表论文200多篇,承担各类项目30多项。担任数学期刊Kinetic and Related Model 主编SIAM Journal on Mathematical Analysis 编委London Mathematical Society: Bulletin, Journal and Transactions 编委等


邀请人:穆春来


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太阳成集团tyc539的前身是始建于1929年的太阳成集团理学院和1937年建立的太阳成集团商学院,理学院是太阳成集团最早设立的三个学院之一,首任经理为数学家何鲁先生。