An algebraic reduction of the `scaling gap' in the Navier-Stokes regularity problem

Speaker: 
Analysis of Fluids and Related Topics: Zoran Grujic, University of Virginia
Date: 
Mar 9 2017 - 5:30pm
Event type: 
Analysis of Fluids and Related Topics
Room: 
Fine Hall 322
Abstract: 

Please note special time (5:30).  It is shown--within a mathematical framework based on the suitably defined scale of sparseness of the super-level sets of the positive and negative parts of the vorticity components--that the ever-resisting `scaling gap' in the 3D Navier-Stokes regularity problem can be reduced by an algebraic factor; all preexisting improvements have been logarithmic in nature, regardless of the functional set up utilized. The mathematics was inspired by morphology of the regions of intense vorticity/velocity gradients observed in computational simulations of turbulent flows. This is a joint work with A. Farhat and Z. Bradshaw.