Analysis on compressible Navier-Stokes equations with strong boundary layer

• 主讲人：Tong Yang (City University of Hong Kong)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2022-05-05 20:00 - 2022-05-05 21:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/BBD59D040E4E91A35EFFC9E42CEF593A
Valid Until: 2026-06-30 23:59

 

Abstract: 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. This is a joint project with Zhu Zhang.

 

Bio: Tong Yang is a Chair Professor of Mathematics at City University of Hong Kong. He was President of the Hong Kong Mathematical Society from 2016 to 2020. He has been working in the fields of partial differential equations and kinetic theory. He served as an Editor-in-Chief of Analysis and Applications from 2013 to 2017, and is one of the founding Editors-in-Chief of Kinetic and Related Models launched in 2008. He also serves on several international journals, including the Editorial Advisory Board of London Mathematical Society: Bulletin and Journal, and SIAM Journal on Mathematical Analysis.  He is a member of the European Academy of Sciences, The World Academy of Sciences and the Hong Kong Academy of Sciences. The awards and distinctions that he has received include the 2nd class State Natural Science Award of China in 2012 and the Croucher Senior Research Fellowship in 2011.