Geodesic
Component reduction for regularity criteria of the three-dimensional magnetohydrodynamics systems
Electronic journal of differential equations, Tome 2014 (2014)
We study the regularity of the three-dimensional magnetohydrodynamics system, and obtain criteria in terms of one velocity field component and two magnetic field components. In contrast to the previous results such as [22], we have eliminated the condition on the third component of the magnetic field completely while preserving the same upper bound on the integrability condition.
Classification : 35B65, 35Q35, 35Q86
Keywords: magnetohydrodynamics system, Navier-Stokes equations, regularity criteria 
@article{EJDE_2014__2014__a47,
     author = {Yamazaki,  Kazuo},
     title = {Component reduction for regularity criteria of the three-dimensional magnetohydrodynamics systems},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1300.35106},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a47/}
}
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%A Yamazaki,  Kazuo
%T Component reduction for regularity criteria of the three-dimensional magnetohydrodynamics systems
%J Electronic journal of differential equations
%D 2014
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%F EJDE_2014__2014__a47
Yamazaki,  Kazuo. Component reduction for regularity criteria of the three-dimensional magnetohydrodynamics systems. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a47/