On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces

DOI10.1016/j.bulsci.2015.08.003zbMath1345.35081arXiv1409.5174OpenAlexW3100232361MaRDI QIDQ293535

Kazuo Yamazaki

Publication date: 9 June 2016

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5174

zbMATH Keywords

Navier-Stokes equationsglobal regularityanisotropic Littlewood-Paley theorymagnetohydrodynamics system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44) PDEs in connection with geophysics (35Q86)

Related Items (10)

Regularity criteria for 3D MHD equations via mixed velocity-magnetic gradient tensors ⋮ Improved blow up criterion for the three dimensional incompressible magnetohydrodynamics system ⋮ Regularity criteria for the Kuramoto-Sivashinsky equation in dimensions two and three ⋮ Regularity criterion via two components of velocity on weak solutions to the shear thinning fluids in \(\mathbb{R}^3\) ⋮ On the Navier-Stokes equations in scaling-invariant spaces in any dimension ⋮ On conditional regularity for the MHD equations via partial components ⋮ 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 ⋮ Remarks on the global regularity issue of the two-and-a-half-dimensional Hall-magnetohydrodynamics system ⋮ Stability and large time decay for the three-dimensional anisotropic magnetohydrodynamic equations

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