数学研究所

调和分析及其应用研究中心

学术报告

偏微分方程研讨班

Speaker: Professor Stan Palasek（Princeton University） 

Inviter: 阮国兴 副研究员

Language: English

Title: Non-uniqueness for the Navier-Stokes equations from critical data

Time&Venue: 2025年3月26日（星期三）9:00-10:00& Zoom ID:  3329836068   Password:  mcm1234

Abstract: A fundamental problem in the theory of the Navier-Stokes equations is the uniqueness of solutions of the Cauchy problem. After discussing some of the recent progress in this area, we will describe a new approach to constructing solutions that exhibit non-uniqueness. As an application, we will show an example of non-unique Leray-Hopf solutions in a dyadic model of the 3D Navier-Stokes, with initial data in a sharp regularity class. Then we will present recent work with M. Coiculescu that uses a similar mechanism to construct non-unique solutions to the full Navier-Stokes whose data lies in a critical space.