Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 153, pp. 1-7.
Title: Regularity for 3D Navier-Stokes equations
in terms of two components of the vorticity
Author: Sadek Gala (Univ. of Mostaganem, Algeria)
Abstract:
We establish regularity conditions for the 3D
Navier-Stokes equation via two components of the vorticity vector.
It is known that if a Leray-Hopf weak solution $u$ satisfies
$$
\tilde{\omega}\in L^{2/(2-r)}(0,T;L^{3/r}(\mathbb{R}^3))\quad
\hbox{with }0