Property of solution to axially symmetric incompressible MHD equations in three dimensions

DOI10.1007/S40840-016-0320-8zbMath1359.35159OpenAlexW2304509826MaRDI QIDQ506193

Shu Wang, Ji Hui Wu

Publication date: 31 January 2017

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0320-8

zbMATH Keywords

MHDincompressiblethree dimensionalaxially asymmetric

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Magnetohydrodynamics and electrohydrodynamics (76W05) Axially symmetric solutions to PDEs (35B07)

Cites Work

• On global regularity of 2D generalized magnetohydrodynamic equations
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• Two regularity criteria for the 3D MHD equations
• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
• Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
• Global existence of 3D MHD equations with mixed partial dissipation and magnetic diffusion
• On axially symmetric incompressible magnetohydrodynamics in three dimensions
• Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions

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