科研进展与学术交流报告会 

（第50期）

报告人一： 李特 助理研究员（应用数学研究所）    

题目一：Nonlinear Stability of Taylor-Couette flow in Fluid Dynamics    

摘 要：Hydrodynamic stability at high Reynolds number is a central topic in fluid mechanics. Whereas the laminar velocity profile is linearly stable for all Reynolds number, Reynolds experiment reveals that laminar flows could be unstable and transit to turbulence at high Reynolds number. This phenomenon is described as subcritical transition. And the mechanism behind is not well understood yet. One of the main difficulties is that the linearized operator is non-self-adjoint. Based on the resolvent estimates, we first show the sharp enhanced-dissipation decay rate of the solution for the linearized system around 2D Taylor-Couette flow. Another technically interesting point is that when dealing with what we call“integrated invisid damping”, a set of orthogonal bases is constructed in the weighted space. Combining all above, we obtain the nonlinear transition threshold for the Taylor-Couette flow. In addition, I might also introduce the recent conclusions regarding the instability of 3D Taylor-Couette flow. This talk is based on a series of joint works by X. An-T. He-L.    

报告人二： 罗肖雨滔 副研究员（数学研究所）    

题目二：Vortex patches of Euler and -SQG equations

摘要：In this talk, I will discuss the vortex patch solutions of the 2D Euler and the alpha-SQG equations. I will report recent advances in the field, with an emphasis on the wellposedness and illposedness of the problem.    

时  间：2023.12.1(星期五), 10:40-12:00    

地  点：南楼204会议室/腾讯会议374-6743-0937    

报告会视频    

注：本视频未经允许不得转载，违者将依法追究侵权法律责任。