Kazuo Yamazaki
Abstract:
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.
Submitted December 9, 2013. Published April 11, 2014.
Math Subject Classifications: 35B65, 35Q35, 35Q86.
Key Words: Magnetohydrodynamics system; Navier-Stokes equations;
regularity criteria.
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Kazuo Yamazaki Department of Mathematics, Oklahoma State University 401 Mathematical Sciences, Stillwater, OK 74078, USA email: kyamazaki@math.okstate.edu |
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