Improved Regularity Criterion for the 3D Navier-Stokes Equations via the Gradient of one Velocity Component

In this paper, we study regularity of weak solutions to the incompressible Navier-Stokes equations in R3 ×(0,T). The main goal is to establish the regularity criterion via the gradient of one velocity component in some multiplier spaces. © 2022 American Institute of Physics Inc.. All rights reserved.