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. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

Authors
Gala S.1, 2 , Ragusa M.A. 2, 3
Journal
Partial Differential Equations and Applications
Publisher
Springer International Publishing
Number of issue
3
Language
English
Status
Published
Link
External link
DOI
10.1007/s42985-021-00096-6
Number
41
Volume
2
Year
2021
Organizations
  • 1 Department of Sciences Exactes, ENS of Mostaganem, Box 227, University of Mostaganem, Mostaganem, 27000, Algeria
  • 2 Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, 6, Catania, 95125, Italy
  • 3 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, 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/84686/
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