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A regularity criterion for the 3D Boussinesq equations.
- Source :
- Applicable Analysis; May2022, Vol. 101 Issue 8, p3039-3047, 9p
- Publication Year :
- 2022
-
Abstract
- In this paper, we consider the regularity criteria of 3D incompressible Boussinesq equations. By using the Littlewood–Paley decomposition technique to establishing a regularity criterion in terms of the one-directional derivative of velocity in Besov spaces. Our result improves some previous works (Liu Q. A regularity criterion for the Navier–Stokes equations in terms of one-directional derivative of the velocity. Acta Appl Math. 2015;140(1):1–9; Gala S, Ragusa M A. On the regularity criterion for the Navier–Stokes equations in terms of one-directional derivative. Asian-Eur J Math. 2017;10(1):1750012). [ABSTRACT FROM AUTHOR]
- Subjects :
- BOUSSINESQ equations
BESOV spaces
MATHEMATICS
NAVIER-Stokes equations
Subjects
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 101
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 157228078
- Full Text :
- https://doi.org/10.1080/00036811.2020.1834537