Applications of Mathematics

, Volume 49, Issue 5, pp 483–493

Some New Regularity Criteria for the Navier-Stokes Equations Containing Gradient of the Velocity

  • Patrick Penel
  • Milan Pokorný

DOI: 10.1023/B:APOM.0000048124.64244.7e

Cite this article as:
Penel, P. & Pokorný, M. Applications of Mathematics (2004) 49: 483. doi:10.1023/B:APOM.0000048124.64244.7e


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.

Navier-Stokes equationsregularity of systems of PDE's

Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2004

Authors and Affiliations

  • Patrick Penel
    • 1
  • Milan Pokorný
    • 1
  1. 1.MathématiqueUniversité de Toulon et du VarLa GardeFrance