A regularity criterion in multiplier spaces to 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 multiplier spaces. © 2023 Ahmad M. Alghamdi, Sadek Gala and Maria Alessandra Ragusa.