Component reduction for regularity criteria of the three-dimensional magnetohydrodynamics systems

Kazuo Yamazaki

Component reduction for regularity criteria of the three-dimensional magnetohydrodynamics systems

Kazuo Yamazaki

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2014
State	Published - Apr 11 2014

Keywords

Magnetohydrodynamics system
Navier-Stokes equations
Regularity criteria

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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.",

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AB - 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.

KW - Magnetohydrodynamics system

KW - Navier-Stokes equations

KW - Regularity criteria

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