Department of Mathematics

Speaker: Aseel Farhat
Title: Geometry of Turbulent Flows and the 3D Navier-Stokes Regularity Problem
Affiliation: University of Virginia
Date: Thursday, February 1, 2018
Place and Time: Room 101, Love Building, 3:35-4:30 pm

Abstract. We describe several aspects of an analytic/geometric framework for the three-dimensional Navier-Stokes regularity problem, which is directly inspired by the morphology of the regions of intense vorticity/velocity gradients observed in computational simulations of three-dimensional turbulence. Among these, we present our proof that the scaling gap in the 3D Navier-Stokes regularity problem can be reduced by an algebraic factor within an appropriate functional setting incorporating the intermittency of the spatial regions of high vorticity.