Some regularity criteria for the 3D incompressible magnetohydrodynamics
type: Item
instance of: scholarly article
title: Some regularity criteria for the 3D incompressible magnetohydrodynamics
zbMATH Open document ID: 1196.35063
author: Eunjeong Ji
author: Jihoon Lee
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-07-07T00:00:00Z
review text: A regularity criterion for the three-dimensional incompressible viscous and restrictive magnetohydrodynamic equations is considered, which govern the dynamics of electrically conducting fluids. Some sufficient integrability conditions on some components of the velocity and magnetic fields for the regularity of the weak solutions are presented. The authors also found the similarity and the difference between MHD and Navier-Stokes equations by studying the obtained regularity criterion attached to the mentioned magnetohydrodynamic equations with given initial data.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 5731689
zbMATH Keywords: integrability conditions
zbMATH Keywords: regularity of the weak solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.03.015
OpenAlex ID: W1996518813
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cites work: Some mathematical questions related to the mhd equations
DOI: 10.1016/J.JMAA.2010.03.015
description: scientific article; zbMATH DE number 5731689