Remarks on the regularity criteria of three-dimensional magnetohydrodynamics system in terms of two velocity field components

DOI10.1063/1.4868277zbMath1286.76172OpenAlexW2002898295MaRDI QIDQ5414814

Kazuo Yamazaki

Publication date: 7 May 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f1a653f78c04ffcd1afbb74a5bffa40d4c28048a

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (13)

Regularity criteria of the three-dimensional MHD system involving one velocity and one vorticity component ⋮ On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces ⋮ Improved blow up criterion for the three dimensional incompressible magnetohydrodynamics system ⋮ A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space ⋮ On the global regularity for the 3D magnetohydrodynamics equations involving partial components ⋮ On the local well-posedness and a Prodi-Serrin-type regularity criterion of the three-dimensional MHD-Boussinesq system without thermal diffusion ⋮ Regularity criteria for the 3D MHD equations involving one current density and the gradient of one velocity component ⋮ Regularity criteria and small data global existence to the generalized viscous Hall-magnetohydrodynamics ⋮ An improved regularity criteria for the MHD system based on two components of the solution. ⋮ On the critical blow up criterion with one velocity component for 3D incompressible MHD system ⋮ \((N-1)\) velocity components condition for the generalized MHD system in \(N\)-dimension ⋮ Global regularity of \(N\)-dimensional generalized MHD system with anisotropic dissipation and diffusion ⋮ Remarks on the global regularity criteria for the 3D MHD equations via two components

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