Regularity criteria of axisymmetric weak solutions to the 3D MHD equations (Q5020185)

scientific article; zbMATH DE number 7452060

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English	Regularity criteria of axisymmetric weak solutions to the 3D MHD equations	scientific article; zbMATH DE number 7452060

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instance of

scholarly article

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title

Regularity criteria of axisymmetric weak solutions to the 3D MHD equations (English)

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Journal of Mathematical Physics

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publication date

4 January 2022

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zbMATH Keywords

incompressible magnetohydrodynamic equations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/5.0065523

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cites work

Inéquations en thermoélasticité et magnétohydrodynamique

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Some mathematical questions related to the mhd equations

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Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System

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On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations

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On the regularity of weak solutions to the magnetohydrodynamic equations

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On regularity criterion to the 3D axisymmetric incompressible MHD equations

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On conditional regularity for the MHD equations via partial components

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On regularity of the 3D MHD equations based on one velocity component in anisotropic Lebesgue spaces

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An optimal regularity criterion for the 3D MHD equations in homogeneous Besov spaces

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Conditional regularity for the 3D MHD equations in the critical Besov space

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Conditional regularity for the 3D incompressible MHD equations via partial components

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Bounds and new approaches for the 3D MHD equations

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Regularity results for weak solutions of the 3D MHD equations.

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Remarks on the global regularity criteria for the 3D MHD equations via two components

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Refined regularity criteria for the MHD system involving only two components of the solution

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Remarks on regularities for the 3D MHD equations

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Regularity criteria for the 3D MHD equations in terms of the pressure

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Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions

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On axially symmetric incompressible magnetohydrodynamics in three dimensions

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Global regularity for the 3D axisymmetric MHD equations with horizontal dissipation and vertical magnetic diffusion

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Global well-posedness for axisymmetric MHD system with only vertical viscosity

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Global well-posedness of 3D axisymmetric MHD system with pure swirl magnetic field

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On the regularity of the axisymmetric solutions of the Navier-Stokes equations

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Regularity criteria to the axisymmetric incompressible magneto-hydrodynamics equations

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On the regularity of the axially symmetric solutions to the three-dimensional MHD equations

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Regularity criteria of axisymmetric weak solutions to the 3D magnetohydrodynamic equations

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3D axisymmetric MHD system with regularity in the swirl component of the vorticity

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The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations

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A new regularity class for the Navier-Stokes equations in \(\mathbb{R}^ n\)

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Q4011110

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Fourier Analysis and Nonlinear Partial Differential Equations

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Regularity criterion for solutions to the Navier-Stokes equations in the whole 3D space based on two vorticity components

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Well-posedness for the Navier-Stokes equations

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Regularity criterion for weak solutions to the 3D Navier-Stokes equations via two vorticity components in \(B M O^{- 1}\)

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Identifiers

zbMATH Open document ID

1490.35318

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DOI

10.1063/5.0065523

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5020185