Weighted regularity criteria of weak solutions to the incompressible 3D MHD equations

DOI10.1007/s11040-018-9293-1zbMath1406.35282OpenAlexW2897862934MaRDI QIDQ1756171

Jae-Myoung Kim

Publication date: 14 January 2019

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-018-9293-1

zbMATH Keywords

weak solutionsregularity conditionmagnetohydrodynamics equations

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)

Cites Work

• On the regularity criterion of weak solutions for the 3D MHD equations
• On the local smoothness of weak solutions to the MHD system near the boundary
• A remark on the regularity criterion of Boussinesq equations with zero heat conductivity
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Inéquations en thermoélasticité et magnétohydrodynamique
• Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
• An Introduction to Magnetohydrodynamics
• Some mathematical questions related to the mhd equations
• Note on Singular Integrals
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Weighted regularity criteria for the three-dimensional Navier—Stokes equations
• Uniqueness criterion of weak solutions for the dissipative quasi-geostrophic equations in Orlicz–Morrey spaces
• A regularity criterion of weak solutions to the 3D Boussinesq equations

This page was built for publication: Weighted regularity criteria of weak solutions to the incompressible 3D MHD equations