报告承办单位: 数学与统计学院

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

报告人姓名:梁涛

报告人所在单位:华南理工大学

报告人职称/职务及学术头衔: 博士

报告时间: 2025年9月27日下午 14:00-16:00

报告地点: 香港六宝合典资料大全云塘校区理科楼A-212

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  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 threshold. Our result removes the logarithmic loss and identifies the natural scaling as the critical size of perturbations for nonlinear stability in this setting.

报告人简介:梁涛，博士在读于华南理工大学数学学院，师从李用声教授，主要致力于调和分析在流体力学中的相关应用。目前已在JDE等国际知名刊物上发表数篇论文。