报告题目：Improved stability threshold for 2D Navier-Stokes Couette flow in an infinite channel

报 告 人：梁涛博士（华南理工大学）

报告时间：2025年11月21日星期五上午10:00--11:00

报告地点：广东工业大学龙洞行政楼610

报告摘要：In this talk,  we study the nonlinear stability of the two-dimensional Navier-Stokes equations around the Couette shear flow in the channel domain subject to Navier slip boundary conditions. We establish a quantitative stability threshold for perturbations of the initial vorticity , showing that stability holds for perturbations of order 1/2 measured in an anisotropic Sobolev space. This sharpens the recent work of Arbon and Bedrossian [Comm. Math. Phys., 406 (2025), Paper No. 129] who proved stability under the 1/2log threshold. Our result removes the logarithmic loss and  identifies the natural scaling 1/2 as the critical size of perturbations for nonlinear stability in this setting.

个人简介：梁涛，博士，目前就读于华南理工大学数学学院，主要研究流体力学中出现的偏微分方程解的稳定性问题。目前已在JDE等国际知名刊物上发表SCI论文数篇。