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Regularity criteria of the three-dimensional MHD system involving one velocity and one vorticity component - MaRDI portal

Regularity criteria of the three-dimensional MHD system involving one velocity and one vorticity component (Q265553)

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scientific article; zbMATH DE number 6562444
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English
Regularity criteria of the three-dimensional MHD system involving one velocity and one vorticity component
scientific article; zbMATH DE number 6562444

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    Regularity criteria of the three-dimensional MHD system involving one velocity and one vorticity component (English)
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    4 April 2016
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    This article deals with the nonlinear magnetohydrodynamics (MHD) system in \(\mathbb R^3\), in a finite time interval \([0,T)\). The author gives a regularity criterion that involves the third component of two unknown functions of the system: the velocity and the vorticity. If this criterion is fulfilled, then it is proved that a weak solution to the considered MHD system is smooth in \((0,T)\).
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    magnetohydrodynamics system
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    regularity criteria
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