报告题目：Nonlinear stability threshold for 3D compressible Couette flow

报 告 人：李锐博士（香港中文大学 ）

报告时间：2026年7月5日15:30-16:30

报告地点：格物楼528报告厅

报告摘要：In this talk, we will establish the nonlinear stability threshold $O(\nu^{3/2})$ for the three-dimensional Couette flow governed by the compressible Navier--Stokes equations at high Reynolds number. While stability thresholds are well understood for both compressible and incompressible flows in two dimensions, and for incompressible flows in three dimensions, the three-dimensional compressible case remains open due to additional structural features, strong mode interactions, and wave coupling. The proof relies on the construction of coupled diffusion waves and a refined frequency-space approach. This is joint work with Prof. Fei Wang, Prof. Lingda Xu, and Dr. Zeren Zhang.

报告人简介：李锐，2020年本科毕业于永利皇宫官方网站，2025年博士毕业于中国科学院数学与系统科学研究院，现为香港中文大学博士后。主要研究方向为可压缩流体的稳定性，在CMP上发表论文1篇。