Electron. J. Diff. Eqns., Vol. 2007(2007), No. 08, pp. 1-10.

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

Ondrej Kreml, Milan Pokorny

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.

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Ondrej Kreml
Mathematical Institute of Charles University
Sokolovsk´ 83, 186 75 Praha 8, Czech Republic
email: kreml@karlin.mff.cuni.cz
Milan Pokorny
Mathematical Institute of Charles University
Sokolovská 83, 186 75 Praha 8, Czech Republic
email: pokorny@karlin.mff.cuni.cz

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