A spatially localized $L \log L$ estimate on the vorticity in the 3D NSE
Analysis of PDEs
2014-02-10 v5
Abstract
The purpose of this note is to present a spatially localized bound on the vorticity in the 3D Navier-Stokes equations, assuming a very mild, \emph{purely geometric} condition. This yields an extra-log decay of the distribution function of the vorticity, which in turn implies \emph{breaking the criticality} in a physically, numerically, and mathematical analysis-motivated blow-up scenario based on vortex stretching and anisotropic diffusion.
Keywords
Cite
@article{arxiv.1309.2519,
title = {A spatially localized $L \log L$ estimate on the vorticity in the 3D NSE},
author = {Z. Bradshaw and Z. Grujić},
journal= {arXiv preprint arXiv:1309.2519},
year = {2014}
}
Comments
final version; to appear in IUMJ