Logarithmically improved regularity criteria for the 3D magnetohydrodynamic equations
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DOI: 10.1002/mma.10281
Abstract: In this paper, we investigate the 3D incompressible magnetohydrodynamic equations and establish several logarithmically improved regularity criteria in the homogeneous Besov space. These criteria are based on certain assumptions made in the velocity field and… read more here.
Keywords: improved regularity; regularity criteria; magnetohydrodynamic equations; field ... See more keywords
Improved regularity criteria for the MHD equations
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DOI: 10.1063/5.0179393
Abstract: In this paper, we establish new regularity criteria for the three-dimensional (3D) viscous incompressible magnetohydrodynamic (MHD) equations. It is proved that if the solution of the MHD equations satisfies u3∈Lp(0,T;Lq(R3)),j3∈Lr(0,T;Ls(R3)),2p+3q=1324,7213≤q≤∞;2r+3s=2,32 read more here.
Keywords: improved regularity; regularity criteria; mhd equations; criteria mhd ... See more keywords
A logarithmically improved regularity criterion for the MHD equations in terms of one directional derivative of the pressure
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DOI: 10.1080/00036811.2016.1207246
Abstract: In this paper, a logarithmically improved regularity criterion for the incompressible magnetohydrodynamics equation is established in terms of the derivative of the pressure in one direction. It is shown that if the partial derivative of… read more here.
Keywords: regularity criterion; logarithmically improved; regularity; derivative pressure ... See more keywords