On regularity of the 3D MHD equations based on one velocity component in anisotropic Lebesgue spaces

DOI10.1016/j.aml.2021.107230zbMath1475.35097OpenAlexW3136059022MaRDI QIDQ2233292

Dongfu Tong, Zhengguang Guo, Weiming Wang

Publication date: 15 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107230

zbMATH Keywords

regularity criterionincompressible MHD equationsone velocity component

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)

Related Items (5)

Global well-posedness for axisymmetric MHD equations with vertical dissipation and vertical magnetic diffusion ⋮ Regularity via one vorticity component for the 3D axisymmetric MHD equations ⋮ A new class of regularity criteria for the MHD and Navier-Stokes equations ⋮ On regularity criteria for MHD system in anisotropic Lebesgue spaces ⋮ Regularity criteria of axisymmetric weak solutions to the 3D MHD equations

Cites Work

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• Conditional regularity for the 3D incompressible MHD equations via partial components
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Regularity criteria for the 3D MHD equations via partial derivatives. II
• Some mathematical questions related to the mhd equations
• The application of anisotropic Troisi inequalities to the conditional regularity for the Navier–Stokes equations
• Navier-Stokes equations with regularity in one direction
• On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component
• Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions

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