Two regularity criteria for the 3D MHD equations

This work establishes two regularity criteria for the 3D incompressible MHD equations. The first one is in terms of the derivative of the velocity field in one direction while the second one requires suitable boundedness of the derivative of the pressure in one direction.

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Bibliographic Details
Published in:Journal of Differential Equations 2010-05, Vol.248 (9), p.2263-2274
Main Authors: Cao, Chongsheng, Wu, Jiahong
Format: Article
Language:English
Subjects:
3D MHD equations
Regularity criteria
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Summary:This work establishes two regularity criteria for the 3D incompressible MHD equations. The first one is in terms of the derivative of the velocity field in one direction while the second one requires suitable boundedness of the derivative of the pressure in one direction.
ISSN:0022-0396
1090-2732
DOI:10.1016/j.jde.2009.09.020