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 componentArticle

Authors: Ahmad M. Alghamdi ORCID; Sadek Gala ; Maria Alessandra Ragusa ORCID

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.

Comment: 9 pages. arXiv admin note: text overlap with arXiv:2005.14019

https://doi.org/10.46298/cm.10267
Source: arXiv.org:2211.02554
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
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

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