A regularity criterion for the 3D Boussinesq equations. Issue 8 (24th May 2022)

• Record Type: Journal Article
• Authors: Wu, Fan
• Is Part Of: Applicable analysis. Volume 101:Issue 8(2022)
• Page Start: 3039
• Page End: 3047
• Publication Date: 2022-05-24
• Subjects: Boussinesq equations -- regularity criteria -- Besov spaces; 35Q35 -- 35B65 -- 76D03; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1834537
• Languages: English
• ISSNs: 0003-6811

Abstract

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).