勷勤数学•专家报告

题      目： Linear instability of boundary layer flow

报  告  人：吴笛  副教授  (邀请人：林植林)

                                  华南理工大学

时      间：9月18日  09：30-10：30

地     点：数学科学学院西楼111报告厅

报告人简介:

       吴笛，华南理工大学数学学院副教授。博士毕业于武汉大学以及巴黎七大。此后，分别在蒙彼利埃大学IMAG研究所以及北京大学数学科学学院从事博士后工作。主要的研究方向为Navier-Stokes方程的正则性、边界层理论、流体中的匀质化问题。

摘      要：

       Understanding the transition mechanism of boundary layer flows is of great significance in physics and engineering, especially due to the current development of supersonic and hypersonic aircraft. In this talk, we show some results about the linear instability of boundary layer flow: 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. 3. We construct multiple unstable acoustic modes so called Mack modes, which plays a crucial role during the early stage of transition in the supersonic boundary layer.

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