Regularity criteria of the three-dimensional MHD system involving one velocity and one vorticity component
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Publication:265553
DOI10.1016/j.na.2016.01.015zbMath1345.35080arXiv1508.02783OpenAlexW2963889626MaRDI QIDQ265553
Publication date: 4 April 2016
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.02783
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Geo-electricity and geomagnetism (86A25) PDEs in connection with geophysics (35Q86)
Related Items (9)
Global weighted regularity for the 3D axisymmetric MHD equations ⋮ Improved blow up criterion for the three dimensional incompressible magnetohydrodynamics system ⋮ 3D axisymmetric MHD system with regularity in the swirl component of the vorticity ⋮ A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space ⋮ Regularity via one vorticity component for the 3D axisymmetric MHD equations ⋮ On the Navier-Stokes equations in scaling-invariant spaces in any dimension ⋮ On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion ⋮ An improved regularity criteria for the MHD system based on two components of the solution. ⋮ A logarithmically improved regularity criterion for the $3$D MHD system involving the velocity field in homogeneous Besov spaces
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