Conditions implying regularity of the three dimensional Navier-Stokes equation

Stephen Montgomery-Smith

Applications of Mathematics (2005)

  • Volume: 50, Issue: 5, page 451-464
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Montgomery-Smith, Stephen. "Conditions implying regularity of the three dimensional Navier-Stokes equation." Applications of Mathematics 50.5 (2005): 451-464. <http://eudml.org/doc/33232>.

@article{Montgomery2005,
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 our methods, we give a different approach to a priori estimates of Foiaş, Guillopé and Temam.},
author = {Montgomery-Smith, Stephen},
journal = {Applications of Mathematics},
keywords = {Navier-Stokes equation; vorticity; Prodi-Serrin condition; Beale-Kato-Majda condition; Orlicz norm; stochastic method; Navier-Stokes equation; vorticity; Prodi-Serrin condition; Beale-Kato-Majda condition; Orlicz norm; stochastic method},
language = {eng},
number = {5},
pages = {451-464},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Conditions implying regularity of the three dimensional Navier-Stokes equation},
url = {http://eudml.org/doc/33232},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Montgomery-Smith, Stephen
TI - Conditions implying regularity of the three dimensional Navier-Stokes equation
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 5
SP - 451
EP - 464
AB - 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.
LA - eng
KW - Navier-Stokes equation; vorticity; Prodi-Serrin condition; Beale-Kato-Majda condition; Orlicz norm; stochastic method; Navier-Stokes equation; vorticity; Prodi-Serrin condition; Beale-Kato-Majda condition; Orlicz norm; stochastic method
UR - http://eudml.org/doc/33232
ER -

References

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