(N - 1) velocity components condition for the generalized mhd system in n-dimension

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Abstract

We study the magnetohydrodynamics system, generalized via a fractional Laplacian. When the domain is in N-dimension, N being three, four or ve, we show that the regularity criteria of its solution pair may be reduced to (N - 1) many velocity eld components with the improved integrability condition in comparison to the result in [29]. Furthermore, we extend this result to the three-dimensional magneto-micropolar fluid system.

Original languageEnglish
Pages (from-to)779-792
Number of pages14
JournalKinetic and Related Models
Volume7
Issue number4
DOIs
StatePublished - 2014

Keywords

  • Fractional laplacians
  • Magneto-micropolar fluid system
  • Magnetohydrodynamics system
  • Navier-stokes equations

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