## Ahmad M. Alghamdi ; Sadek Gala ; Maria Alessandra Ragusa - A regularity criterion in multiplier spaces to Navier-Stokes equations via the gradient of one velocity component

cm:10267 - Communications in Mathematics, February 14, 2023, Volume 31 (2023), Issue 1 - https://doi.org/10.46298/cm.10267
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 $\mathbb{R}^{3}\times (0,T)$. The main goal is to establish the regularity criterion via the gradient of one velocity component in multiplier spaces.

Volume: Volume 31 (2023), Issue 1
Published on: February 14, 2023
Accepted on: November 8, 2022
Submitted on: November 7, 2022
Keywords: Mathematics - Analysis of PDEs,35Q30, 35K15, 76D03