Conditions implying regularity of the three dimensional Navier-Stokes equation

Details Conditions implying regularity of the three dimensional Navier-Stokes equation Conditions implying regularity of the three dimensional Navier-Stokes equation

2003-01-20

arxiv.org/abs/math/0301207v6

Mathematics

Analysis of PDEs

Also available at http://www.math.missouri.edu/~stephen/preprints/ (Changes: this is a substantial rewrite of the previous ver

Scientific paper

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.

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