Conditions implying regularity of the three dimensional Navier-Stokes equation
Analysis of PDEs
2013-06-04 v6 Probability
Abstract
We obtain logarithmic improvements for conditions for regularity of the Navier-Stokes equation, similar to those of Prodi-Serrin or Beale-Kato-Majda. Some of the proofs make use of a stochastic approach involving Feynman-Kac like inequalities. As part of the our methods, we give a different approach to a priori estimates of Foias, Guillope and Temam.
Keywords
Cite
@article{arxiv.math/0301207,
title = {Conditions implying regularity of the three dimensional Navier-Stokes equation},
author = {Stephen Montgomery-Smith},
journal= {arXiv preprint arXiv:math/0301207},
year = {2013}
}
Comments
Also available at http://www.math.missouri.edu/~stephen/preprints/ (Changes: this is a substantial rewrite of the previous version.)