Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Monday, November 2, 2015 - 16:00 to 17:00
Location: 
Kidder 350

Speaker Info

Local Speaker: 
Abstract: 

Our goal is to discuss the basic issues in the well-posedness (or regularity) problem for the 3D Navier-Stokes equations - an ongoing saga that dates back to Leray's work in the 1930's. I will set the stage by introducing the "main players" and the "narrative" viewed through the lens of the inherent symmetries in these equations. This will allow us to talk about the scaling gap between the regularity problem and the current a priori estimates that rely on static functional-analytic bounds of the "main character" - the non-linearity. Next, we will present several results involving the use of local dynamic estimates on vorticity that may provide a possible conclusion to the "regularity saga" by breaking the symmetry gap.