Applications of Mathematics

, Volume 49, Issue 5, pp 483–493

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

Authors

  • Patrick Penel
    • MathématiqueUniversité de Toulon et du Var
  • Milan Pokorný
    • MathématiqueUniversité de Toulon et du Var
Article

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

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.

Navier-Stokes equationsregularity of systems of PDE's

Copyright information

© Mathematical Institute, Academy of Sciences of Czech Republic 2004