报告题目：Nonlinear Evolution Toward the Linear Diffusive Profile in the Presence of Couette Flow

报告人：赵威任长聘副教授，纽约大学阿布扎比分校

报告时间：2026年8月23日（周日）15:30-17:00

报告地点：20-203

报告摘要：In this talk, I will talk about the long-time behavior of solutions to the two-dimensional Navier-Stokes equations with initial data evolving under the influence of the planar Couette flow. We focus on general perturbations, which may be large and of low regularity, and show that the vorticity asymptotically approaches a constant multiple of the fundamental solution of the corresponding linearized vorticity equation after a long-time evolution determined by the relative Reynolds number.

报告人简介：赵威任，现为纽约大学阿布扎比分校的长聘副教授，毕业于浙江大学，师从王斯雷教授和陈杰诚教授。主要从事调和分析及其在流体力学中的应用，相关成果发表于Ann. of Math., CPAM, Ann. PDE., MAMS, ARMA, CMP等国际期刊上。

邀请人：现代分析及其应用研究所