4.3 Article

On Regularity Criteria for the 3D Incompressible MHD Equations Involving One Velocity Component

Journal

JOURNAL OF MATHEMATICAL FLUID MECHANICS
Volume 18, Issue 1, Pages 187-206

Publisher

SPRINGER BASEL AG
DOI: 10.1007/s00021-015-0246-1

Keywords

MHD equations; weak solutions; regularity criteria

Funding

  1. NSFC [11171154]

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By introducing a new a priori estimate for the -equation, we establish some regularity criteria for the weak solutions of the 3D incompressible MHD equations in terms of one velocity component and two magnetic field components. Our results improve some recent works.

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