A new regularity criterion for the Navier-Stokes equations in terms of the direction of vorticity. (English) Zbl 1072.35148

Zhou, Yong

Monatsh. Math. 144, No. 3, 251-257 (2005).

A new regularity criterion in terms of the direction of vorticity for a Leray-Hopf weak solution to the Navier-Stokes equations is given.

Reviewer: Valeriu Al. Sava (Iaşi)

MSC:

35Q30	Navier-Stokes equations
76D03	Existence, uniqueness, and regularity theory for incompressible viscous fluids
35B65	Smoothness and regularity of solutions to PDEs
76D05	Navier-Stokes equations for incompressible viscous fluids

Keywords:

Navier-Stokes equations; regularity; weak solution; Leray-Hopf solution