A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations

DOI10.1007/s00033-017-0874-9zbMath1378.76145OpenAlexW2762803637MaRDI QIDQ680160

Yujun Cui, Yong-Hong Wu, Xin-Liang Li, Fu Yi Xu

Publication date: 22 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0874-9

zbMATH Keywords

regularity criterionMHD equationsscaling invariant

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Blow-up in context of PDEs (35B44)

Related Items (9)

Global well-posedness of 3-D nonhomogeneous incompressible MHD equations with bounded nonnegative density ⋮ A new global existence result for the 3D magneto-hydrodynamics equations ⋮ Global weighted regularity for the 3D axisymmetric MHD equations ⋮ An improved regularity criterion for the 3D magneto-micropolar equations in homogeneous Besov space ⋮ A logarithmic improvement of regularity criterion for the MHD equations in terms of the pressure ⋮ Exact solutions to Euler equation and Navier-Stokes equation ⋮ Navier-Stokes regularity criteria in Vishik spaces ⋮ A refined regularity criteria of weak solutions to the magneto-micropolar fluid equations ⋮ On conditional regularity for the MHD equations via partial components

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