報告題目：Recent development on the Tollmien-Schlichting waves

報告人：吳笛

報告時間：2023年5月21日10:45-11:20

報告地點：數(shù)學(xué)與統(tǒng)計學(xué)院四樓會議室

報告摘要：The Tollmien-Schlichting (T-S) waves play a key role during the early stage of the boundary layer transition. In a breakthrough work (Duke Math Jour, 165(2016)), Grenier, Guo and Nguyen gave a first rigorous construction of the T-S waves of temporal mode for the incompressible fluid. In this talk, we show two results about the Tollmien-Schlichting waves: 1. For the incompressible case, we confirm the existence of neutral curve by constructing stable and neutral stable Tollmien-Schlichting waves. 2. We construct the unstable Tollmien-Schlichting waves of both temporal and spatial mode to the linearized compressible Navier-Stokes system around the boundary layer flow in the whole subsonic regime.

報告人簡介：吳笛,，華南理工大學(xué)副教授,，博士畢業(yè)于武漢大學(xué)以及巴黎七大。2018年至2020年為北京大學(xué)博雅博士后,。主要研究方向為Navier-Stokes方程的正則性,、邊界層理論,、流體的均質(zhì)化問題。