A regularity criterion for the tridimensional Navier-Stokes equations in term of one velocity component
type: Item
instance of: scholarly article
title: A regularity criterion for the tridimensional Navier-Stokes equations in term of one velocity component
zbMATH Open document ID: 1331.35266
author: Xiaoxin Zheng
published in: Journal of Differential Equations
publication date: 2015-06-18T00:00:00Z
review text: In the paper, the author investigates the regularity criterion of the three-dimensional Navier-Stokes equations via one velocity component. The strategy consists in establishing regularity criteria of Leray-Hopf weak solutions in the framework of anisotropic Lebesgue space. This extends and improves some known regularity criteria of Leray-Hopf weak solutions in term of one velocity component. By making full use of the Bony paraproduct decomposition, the author shows the conditions for Leray-Hopf weak solutions to be smooth.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6446962
zbMATH Keywords: regularity criteria
zbMATH Keywords: anisotropic inequality
zbMATH Keywords: Bony paraproduct decomposition
zbMATH Keywords: Leray-Hopf weak solution
reviewed by: Pavel Burda
MaRDI profile type: Publication
full work available at URL: j.jde.2013.09.002
OpenAlex ID: W2004069181
DOI: 10.1016/J.JDE.2013.09.002
description: scientific article