Conditions implying regularity of the three dimensional Navier-Stokes equation

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.

arXiv commentAlso available at http://www.math.missouri.edu/~stephen/preprints/ (Changes: this is a substantial rewrite of the previous version.)

References in corpus (2)

• An Eulerian-Lagrangian approach to the Navier-Stokes equations
• A counterexample to the smoothness of the solution to an equation arising in fluid mechanics