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

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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.

Original languageEnglish
JournalElectronic Journal of Differential Equations
Volume2014
StatePublished - Apr 11 2014

Keywords

  • Magnetohydrodynamics system
  • Navier-Stokes equations
  • Regularity criteria

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