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.

Авторы
Alghamdi A. 1 , Gala S. 2, 3 , Ragusa M.A. 3, 4
Сборник материалов конференции
AIP Conference Proceedings
Язык
Английский
Статус
Опубликовано
DOI
10.1063/5.0081378
Номер
280003
Том
2425
Год
2022
Организации
  • 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
Ключевые слова
multiplier spaces; Navier-Stokes equations; one component; regularity criterion
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