Ahmad M. Alghamdi ; Sadek Gala ; Maria Alessandra Ragusa
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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
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https://doi.org/10.46298/cm.10267A regularity criterion in multiplier spaces to Navier-Stokes equations
via the gradient of one velocity componentArticleAuthors: Ahmad M. Alghamdi

; Sadek Gala ; Maria Alessandra Ragusa

0000-0001-9715-1558##NULL##0000-0001-6611-6370
Ahmad M. Alghamdi;Sadek Gala;Maria Alessandra Ragusa
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
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