Analysis and PDE Seminar—— Nonlinear Evolution Toward the Linear Diffusive Profile in the Presence of Couette Flow
报告人：Weiren Zhao (NYU Abu Dhabi)
时间：2026-04-01 10:00-11:00
地点：智华楼四元厅
Abstract: 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.
