Geodesic
Conditions implying regularity of the three dimensional Navier-Stokes equation
Applications of Mathematics, Tome 50 (2005) no. 5, pp. 451-464

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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 our methods, we give a different approach to a priori estimates of Foiaş, Guillopé and Temam.
DOI : 10.1007/s10492-005-0032-0
Classification : 35B65, 35Q30, 46E30, 60H10, 60H30, 76D03, 76D05
Keywords: Navier-Stokes equation; vorticity; Prodi-Serrin condition; Beale-Kato-Majda condition; Orlicz norm; stochastic method 
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     title = {Conditions implying regularity of the three dimensional {Navier-Stokes} equation},
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Montgomery-Smith, Stephen. Conditions implying regularity of the three dimensional Navier-Stokes equation. Applications of Mathematics, Tome 50 (2005) no. 5, pp. 451-464. doi: 10.1007/s10492-005-0032-0

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