Global well-posedness of 3D axisymmetric MHD system with pure swirl magnetic field
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Publication:1653669
DOI10.1007/s10440-017-0143-0zbMath1394.35327arXiv1705.06428OpenAlexW2616255586MaRDI QIDQ1653669
Publication date: 6 August 2018
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.06428
Maximal functions, Littlewood-Paley theory (42B25) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Axially symmetric solutions to PDEs (35B07)
Related Items (13)
Global well-posedness of 3d axisymmetric MHD-Boussinesq system with nonzero swirl ⋮ Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion ⋮ Global axisymmetric solutions to the 3D MHD equations with nonzero swirl ⋮ Global well-posedness of 3D axisymmetric MHD system with large swirl magnetic field ⋮ Global well-posedness for the 3D axisymmetric Hall-MHD system with horizontal dissipation ⋮ Liouville-type theorems for the stationary inhomogeneous incompressible MHD equations ⋮ Regularity criteria for the 3D axisymmetric non-resistive MHD system in the swirl component of the vorticity ⋮ Global well-posedness and asymptotic behavior of the 3D MHD-Boussinesq equations ⋮ Regularity criteria for the 3D axisymmetric non-resistive MHD system ⋮ Regularity criteria for the 3D axisymmetric non-resistive MHD system in Lorentz spaces ⋮ Global regularity for the 3D Hall-MHD equations with low regularity axisymmetric data ⋮ Regularity criteria of axisymmetric weak solutions to the 3D MHD equations ⋮ Liouville-type theorems for the stationary incompressible inhomogeneous Hall-MHD and MHD equations
Cites Work
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- Regularity criterion to the axially symmetric Navier-Stokes equations
- Regularity results of axisymmetric solutions for the Navier-Stokes system.
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- On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component
- On axially symmetric flows in \(\mathbb{R}^3\)
- On axially symmetric incompressible magnetohydrodynamics in three dimensions
- Criticality of the axially symmetric Navier-Stokes equations
- Inéquations en thermoélasticité et magnétohydrodynamique
- Some mathematical questions related to the mhd equations
- Fourier Analysis and Nonlinear Partial Differential Equations
- Global existence for the magnetohydrodynamic system in critical spaces
- Partial regularity of suitable weak solutions of the navier-stokes equations
- Global Axisymmetric Solutions to Three-Dimensional Navier–Stokes System
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