A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field

Yong Zhou; Sadek Gala

doi:10.1016/j.na.2009.12.045

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A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field

Journal article

Peer reviewed

A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field

Yong Zhou and Sadek Gala

Nonlinear analysis, Vol.72(9), pp.3643-3648

01/05/2010

DOI: https://doi.org/10.1016/j.na.2009.12.045

Abstract

MHD equations

Morrey–Campanato spaces

Regularity criterion

In this paper, we consider regularity criterion for solutions to the 3D viscous incompressible MHD equations in Morrey–Campanato spaces. It is proved that if the vorticity field ω = ∇ × u belongs to M ̇ 2 , 3 r for 0 < r ≤ 1 on [ 0 , T ] , then the solution remains smooth on [ 0 , T ] .

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Title: A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field
Creators - without role: Yong Zhou - Zhejiang Normal University
Sadek Gala - Université de Mostaganem
Publication Details: Nonlinear analysis, Vol.72(9), pp.3643-3648
Publisher: Elsevier Ltd
Identifiers: 9934319808331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article