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Conditions implying regularity of the three dimensional Navier-Stokes equation
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.Comment: Also available at http://www.math.missouri.edu/~stephen/preprints/
(Changes: this is a substantial rewrite of the previous version.
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