Weak solutions of the Navier-Stokes equations may be smooth for a.e. time

Analysis Seminar
Topic:Weak solutions of the Navier-Stokes equations may be smooth for a.e. time
Speaker:Maria Colombo
Affiliation:École Polytechnique Fédérale de Lausanne; von Neumann Fellow, School of Mathematics
Date:Monday, October 7
Time/Room:5:00pm - 6:00pm/Simonyi Hall 101
Video Link:https://video.ias.edu/analysis/2019/1007-MariaColombo

In a recent result, Buckmaster and Vicol proved non-uniqueness of weak solutions to the Navier-Stokes equations which have bounded kinetic energy and integrable vorticity.  We discuss the existence of such solutions, which in addition are regular outside a set of times of dimension less than 1.