Analysis and Applied Mathematics Seminar
Zoran Grujic
University of Virginia
An algebraic reduction of the "scaling gap" in the Navier-Stokes regularity problem
Abstract: 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, and in the context of
a blow-up-type argument--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
presented was inspired by morphology of the regions of intense
vorticity/velocity gradients observed in computational simulations of
turbulent flows. A joint work with Z. Bradshaw and A. Farhat.
Monday April 24, 2017 at 4:00 PM in SEO 636