报告题目：Nonlinear stability threshold for compressible Couette flow

报 告 人：李 锐（博士）

报告时间：2025年7月28日（星期一）上午10：30-11：30

报告地点：格物楼528

报告摘要：This talk concerns the Couette flow for 2-D compressible Navier-Stokes equations (N-S) in an infinitely long flat torus T×R. Compared to the incompressible flow, the compressible Couette flow has stronger lift-up effects and weaker dissipation. To the best of our knowledge, there has no work on the nonlinear stability in the cases of high Reynolds number until now and only linear stability was known. In this talk, we will prove the nonlinear stability of 2-D compressible Couette flow in Sobolev space at high Renolds number. Moreover, we also show the enhanced dissipation phenomenon and stability threshold for the  compressible Couette flow. This is a joint work with Prof. Feimin Huang and Dr. Lingda Xu.

报告人简介：李锐，香港中文大学博士后，2020年本科毕业于湖南师范大学，免试推荐至中国科学院数学与系统科学研究院攻读研究生并于2025年获得博士学位。李锐的主要研究方向为可压缩剪切流的稳定性问题、粘性波的稳定性问题。