Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity

Patrick Penel; Milan Pokorný

Applications of Mathematics (2004)

  • Volume: 49, Issue: 5, page 483-493
  • ISSN: 0862-7940

Abstract

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We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.

How to cite

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Penel, Patrick, and Pokorný, Milan. "Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity." Applications of Mathematics 49.5 (2004): 483-493. <http://eudml.org/doc/33196>.

@article{Penel2004,
abstract = {We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.},
author = {Penel, Patrick, Pokorný, Milan},
journal = {Applications of Mathematics},
keywords = {Navier-Stokes equations; regularity of systems of PDE’s; Navier-Stokes equations; regularity of systems of PDE's},
language = {eng},
number = {5},
pages = {483-493},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity},
url = {http://eudml.org/doc/33196},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Penel, Patrick
AU - Pokorný, Milan
TI - Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 5
SP - 483
EP - 493
AB - We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
LA - eng
KW - Navier-Stokes equations; regularity of systems of PDE’s; Navier-Stokes equations; regularity of systems of PDE's
UR - http://eudml.org/doc/33196
ER -

References

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