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

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 Pokorný M.: A regularity criterion for the angular velocity component in the case of axisymmetric Navier-Stokes equations, Proceedings of the 4th European Congress on Elliptic and Parabolic Problems, Rolduc and Gaeta 2001, World Scientific (2002) 233--242.

Keywords

• regularity
• criterion
• angular
• velocity
• component
• axisymmetric
• Navier-Stokes
• equations