A geometric measure-type regularity criterion for solutions to the 3D Navier-Stokes equations
Analysis of PDEs
2012-11-09 v5 Mathematical Physics
math.MP
Abstract
A local anisotropic geometric measure-type condition on the super-level sets of solutions to the 3D NSE preventing the formation of finite-time singularity is presented; essentially, local one-dimensional sparseness of the regions of intense fluid activity in a very weak sense.
Keywords
Cite
@article{arxiv.1111.0217,
title = {A geometric measure-type regularity criterion for solutions to the 3D Navier-Stokes equations},
author = {Zoran Grujic},
journal= {arXiv preprint arXiv:1111.0217},
year = {2012}
}
Comments
final version, 10 pp, to appear in Nonlinearity