勷勤数学•专家报告

题      目：Nonlinear Evolution Toward the Linear Diffusive Profile in the Presence of Couette Flow

报  告  人： 赵威任 助理教授  (邀请人：林植林)

                                     New York University Abu Dhabi（纽约大学阿布扎比分校）

时      间： 7月20日  16：00-17:00

地     点：数科院西楼111

报告人简介:

       赵威任，现为New York University Abu Dhabi助理教授。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, Memoirs of AMS, ARMA, Adv. Math. Ann. PDE., CMP, JFA, JMPA等国际期刊上。

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.

          欢迎老师、同学们参加、交流！