An optimal regularity criterion for the Navier-Stokes equations proved by a blow-up argument
type: Item
instance of: scholarly article
title: An optimal regularity criterion for the Navier-Stokes equations proved by a blow-up argument
zbMATH Open document ID: 1455.35177
author: Zdeněk Skalák
published in: Nonlinear Analysis. Real World Applications
publication date: 2020-12-13T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35D30
zbMATH DE Number: 7284905
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: conditional regularity
zbMATH Keywords: regularity criteria
zbMATH Keywords: rescaling procedure
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2020.103207
OpenAlex ID: W3089897395
cites work: Q2743226
cites work: Un teorema di unicita per le equazioni di Navier-Stokes
cites work: Q5723392
cites work: Backward uniqueness for parabolic equations
cites work: Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity.
cites work: Navier-Stokes equations with regularity in one direction
cites work: Sufficient conditions for the regularity to the 3D Navier-Stokes equations
cites work: An improved regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field
cites work: The end-point regularity criterion for the Navier-Stokes equations in terms of \(\partial_3 u\)
cites work: A note on a regularity criterion for the Navier–Stokes equations
cites work: Sharp one component regularity for Navier-Stokes
cites work: Liouville theorems for the Navier-Stokes equations and applications
cites work: On vorticity directions near singularities for the Navier-Stokes flows with infinite energy
cites work: Q4285024
cites work: Regularity condition of the incompressible Navier-Stokes equations in terms of one velocity component
cites work: A regularity criterion of Serrin-type for the Navier-Stokes equations involving the gradient of one velocity component
cites work: The Three-Dimensional Navier–Stokes Equations
cites work: Teoremi di inclusione per spazi di Sobolev non isotropi
DOI: 10.1016/J.NONRWA.2020.103207
description: scientific article