報(bào)告題目：Recent development on the Tollmien-Schlichting waves

報(bào)告人：吳笛

報(bào)告時(shí)間：2023年5月21日10:45-11:20

報(bào)告地點(diǎn)：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院四樓會(huì)議室

報(bào)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(bào)告人簡(jiǎn)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?yàn)?/span>Navier-Stokes方程的正則性、邊界層理論、流體的均質(zhì)化問題。