Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations

In this paper, we consider the regularity criterion for 3D incompressible Navier-Stokes equations in terms of one directional derivative of the velocity in anisotropic Lebesgue spaces. More precisely, it is proved that u becomes a regular solution if the ∂3u satisfies [Formula presented] where [Formula presented] and [Formula presented]. © 2021

Authors
Ragusa M.A. 1, 2 , Wu F.3
Journal
Journal of Mathematical Analysis and Applications
Publisher
Academic Press Inc.
Number of issue
2
Language
English
Status
Published
Link
External link
DOI
10.1016/j.jmaa.2021.125286
Number
125286
Volume
502
Year
2021
Organizations
  • 1 Department of Mathematics, University of Catania, Viale Andrea Doria No. 6, Catania, 95128, Italy
  • 2 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
  • 3 School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, China
Keywords
Anisotropic Lebesgue spaces; Navier-Stokes equations; Regularity criteria
Date of creation
20.07.2021
Date of change
20.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74132/
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