Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 08, pp. 1-10.

Title: A regularity criterion for the angular velocity component in
       axisymmetric Navier-Stokes equations

Authors: Ondrej Kreml  (Charles Univ., Praha, Czech Republic)
         Milan Pokorny (Charles Univ., Praha, Czech Republic)

Abstract:
 We study the non-stationary Navier-Stokes equations in the entire
 three-dimensional space under the assumption that the data are
 axisymmetric. We extend the regularity criterion for axisymmetric
 weak solutions given in [10].
 
Submitted October 5, 2006. Published January 2, 2007.
Math Subject Classifications: 35Q30, 76D05.
Key Words: Axisymmetric flow; Navier-Stokes equations; 
           regularity of systems of PDE's.