A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations
type: Item
instance of: scholarly article
title: A logarithmically improved blow-up criterion for smooth solutions to the 3D micropolar fluid equations
zbMATH Open document ID: 1254.76049
author: Yu-Zhu Wang
author: Hecai Yuan
published in: Nonlinear Analysis. Real World Applications
publication date: 2012-12-28T00:00:00Z
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 6118749
zbMATH Keywords: micropolar fluid equations
zbMATH Keywords: smooth solution
zbMATH Keywords: blow-up criterion
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2011.12.018
OpenAlex ID: W2030167139
cites work: Long-time behavior of 2D micropolar fluid flows
cites work: Onset of Rayleigh-Bénard MHD convection in a micropolar fluid
cites work: A note on the existence and uniqueness of solutions of the micropolar fluid equations
cites work: Existence of global strong solution to the micropolar fluid system in a bounded domain
cites work: Global regularity of the 2D micropolar fluid flows with zero angular viscosity
cites work: Asymptotic profiles of solutions to the 2D viscous incompressible micropolar fluid flows
cites work: Uniform attractors of non-homogeneous micropolar fluid flows in non-smooth domains
cites work: Global well-posedness for the micropolar fluid system in critical Besov spaces
cites work: Micropolar fluids with vanishing viscosity
cites work: Pullback attractor for heat convection problem in a micropolar fluid
cites work: Regularity criteria of weak solutions to the three-dimensional micropolar flows
cites work: Pressure regularity criteria of the three-dimensional micropolar fluid flows
cites work: A regularity criterion for 3D micropolar fluid flows
cites work: Remarks on the regularity criterion of the 3D micropolar fluid flows in terms of the pressure
cites work: On the regularity for solutions of the micropolar fluid equations
cites work: Regularity criterion for weak solution to the 3D micropolar fluid equations
cites work: On regularity criteria for the three-dimensional micropolar fluid equations in the critical Morrey-Campanato space
cites work: Remarks on the breakdown of smooth solutions for the 3-D Euler equations
cites work: A Beale-Kato-Madja criterion for magneto-micropolar fluid equations with partial viscosity
cites work: Blowup criterion for viscous, compressible micropolar fluids with vacuum
cites work: The Cauchy problem for a 1D compressible viscous micropolar fluid model: analysis of the stabilization and the regularity
cites work: Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
cites work: Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure
cites work: Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations
cites work: Q4459639
cites work: The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
cites work: On the interior regularity of weak solutions of the Navier-Stokes equations
cites work: Regularity criterion via two components of vorticity on weak solutions to the Navier-Stokes equations in \(\mathbb R^3\).
cites work: Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain
cites work: On regularity criteria in terms of pressure for the Navier-Stokes equations in ℝ³
cites work: On a regularity criterion in terms of the gradient of pressure for the Navier-Stokes equations in \(\mathbb R^N\)
cites work: Logarithmically improved regularity criteria for the Navier-Stokes equations in multiplier spaces
cites work: A new regularity criterion for the Navier-Stokes equations in terms of the gradient of one velocity component.
cites work: A new regularity criterion for weak solutions to the Navier-Stokes equations
cites work: On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component
cites work: On the regularity of the solutions of the Navier–Stokes equations via one velocity component
cites work: Remarks on logarithmical regularity criteria for the Navier–Stokes equations
cites work: Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the pressure in the class
cites work: Q4210480
cites work: Interpolation inequalities in Besov spaces
cites work: A LOGARITHMALLY IMPROVED BLOW-UP CRITERION OF SMOOTH SOLUTIONS FOR THE THREE-DIMENSIONAL MHD EQUATIONS
cites work: Commutator estimates and the euler and navier-stokes equations
DOI: 10.1016/J.NONRWA.2011.12.018
description: scientific article; zbMATH DE number 6118749