\((N-1)\) velocity components condition for the generalized MHD system in \(N\)-dimension

DOI10.3934/krm.2014.7.779zbMath1326.35292OpenAlexW2324035310MaRDI QIDQ2347629

Kazuo Yamazaki

Publication date: 5 June 2015

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2014.7.779

zbMATH Keywords

Navier-Stokes equationsmagnetohydrodynamics systemfractional Laplaciansmagneto-micropolar fluid system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Fractional derivatives and integrals (26A33) Magnetohydrodynamics and electrohydrodynamics (76W05) PDEs in connection with geophysics (35Q86)

Related Items (5)

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 ⋮ Global regularity of the two-dimensional magneto-micropolar fluid system with zero angular viscosity ⋮ Global regularity to the 3D generalized MHD equations with large initial data ⋮ Regularity criteria for the 3D MHD equations involving one current density and the gradient of one velocity component

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