国家天元数学中部中心偏微分方程系列报告 | 张筑 助理教授(香港理工大学)

发布时间: 2022-12-07 15:28

报告目:A Quasi-Compressible-Stokes Iteration Scheme with Applications to Subsonic Boundary Layer Flows

报告时间:2022-12-19  16:00 - 17:00

报告人:张筑 助理教授  香港理工大学

腾讯会议ID:886-226-657  会议密码:1219

报告链接:https://meeting.tencent.com/dm/F6N1wmd9H8Lr

报告摘要:In this talk, I will present an approach to study the compressible Navier-Stokes equations in the subsonic and high Reynolds number regime. The key ingredient is to introduce two new decompositions that involve quasi-compressible and Stokes approximations. And then an iteration scheme is defined by applying the decompositions for solving the linearized compressible Navier-Stokes equations. With the above analytic tools, we show the spectral instability of subsonic boundary layer that is related to the Tollmien-Schlichting waves with critical Gevrey index 3/2 in the compressible setting that has been well investigated for the incompressible flow. The presentation is based on a joint work with Prof. T. Yang.