Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel

Abstract

In this paper we consider the three-dimensional Navier-Stokes equations in an infinite channel. We provide a sufficient condition, in terms of ${\partial }_{z}p$, where $p$ is the pressure, for the global existence of the strong solutions to the three-dimensional Navier-Stokes equations.