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报告题目：Recent development on the Tollmien-Schlichting waves

报告人：吴笛

报告时间：2023年5月21日10:45-11:20

报告地点：数学与统计学院四楼会议室

报告摘要：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.

报告人介绍：吴笛，华南理工大学副教授，博士毕业于武汉大学以及巴黎七大。2018年至2020年为北京大学博雅博士后。主要研究方向为Navier-Stokes方程的正则性、边界层理论、流体的均质化问题。