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