中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

偏微分方程研讨班

Speaker: 刘宁（纽约大学阿布扎比分校）
Inviter: 张平

Language: Chinese

Title: Long-time behavior of the 2D Navier-Stokes equations near the Couette flow

Time & Venue: 2025年12月26日（星期五）16：00-17：00&南楼N913

Abstract:This talk concerns on the long-time behavior of solutions to the two-dimensional Navier-Stokes equations with initial data near the 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 to the linearized equation after a long-time evolution determined by the relative Reynolds number. Also, we make a comparison between the results on the whole plane and the half plane.