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.

Authors
Alghamdi A.1 , Gala S.2, 3 , Ragusa M.A. 3, 4
Conference proceedings
AIP Conference Proceedings
Language
English
Status
Published
DOI
10.1063/5.0081378
Number
280003
Volume
2425
Year
2022
Organizations
  • 1 Department of Mathematical Science, Faculty of Applied Science, Umm Alqura University, P. O. Box 14035, Makkah, 21955, Saudi Arabia
  • 2 Department of Mathematics, Faculty of Science & Informatics, University of Mostaganem, P. O. Box 270, Mostaganem, 27000, Algeria
  • 3 University of Catania, Department of Mathematics and Computer Sciences, Catania, Italy
  • 4 RUDN University, Moscow, Russian Federation
Keywords
multiplier spaces; Navier-Stokes equations; one component; regularity criterion
Date of creation
06.07.2022
Date of change
06.07.2022
Short link
https://repository.rudn.ru/en/records/article/record/83675/
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