A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component

Abstract

In this paper, we study regularity of weak solutions to the incompressible Navier-Stokes equations in ${\mathbb{R}}^3\times (0,T)$. The main goal is to establish the regularity criterion via the gradient of one velocity component in multiplier spaces.

arXiv comment9 pages. arXiv admin note: text overlap with arXiv:2005.14019