A Spatially Localized L log L Estimate on the Vorticity in the 3D NSE

作者:Bradshaw Zachary*; Grujic Zoran
来源:Indiana University Mathematics Journal, 2015, 64(2): 433-440.
DOI:10.1512/iumj.2015.64.5496

摘要

The purpose of this note is to present a spatially localized L log L bound on the vorticity in the 3D Navier-Stokes equations, assuming a very mild, purely geometric condition. This yields an extra-log decay of the distribution function of the vorticity, which in turn implies breaking the criticality in a physically, numerically, and mathematical analysis-motivated criticality scenario based on vortex stretching and anisotropic diffusion.

  • 出版日期2015