Title: Regularity criteria for the three-dimensional Navier-Stokes equations

Authors: Chongsheng Cao and Edriss S. Titi

Issue: Volume 57 (2008), Issue 6, 2643-2662

Abstract: In this paper we consider the three-dimensional Navier-Stokes equations subject to periodic boundary conditions or in the whole space. We provide sufficient conditions, in terms of one component of the velocity field, or alternatively in terms of one component of the pressure gradient, for the regularity of strong solutions to the three-dimensional Navier-Stokes equations.