Conditions implying regularity of the three dimensional Navier-Stokes equation

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Conditions implying regularity of the three dimensional Navier-Stokes equation

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/9832

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Title: Conditions implying regularity of the three dimensional Navier-Stokes equation
Author: Montgomery-Smith, Stephen, 1963-
Keywords: Vorticity
Orlicz norm
Leray-Hopf weak solution
Date: 2011-02-04
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.
URI: http://hdl.handle.net/10355/9832

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