On the local smoothness of some class of axially-symmetric solutions to the MHD equations

DOI10.1007/s10958-018-4125-1zbMath1416.35215OpenAlexW2903179290MaRDI QIDQ2414610

Yanyan Li

Publication date: 17 May 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-4125-1

zbMATH Keywords

MHD equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Strong solutions to PDEs (35D35)

Cites Work

• On the boundary regularity of weak solutions to the MHD system
• On global regular solutions to magnetohydrodynamics in axi-symmetric domains
• Stability of two-dimensional solutions to the Navier-Stokes equations in cylindrical domains under Navier boundary conditions
• Liouville theorems for the Navier-Stokes equations and applications
• Global regular solutions with large swirl to the Navier-Stokes equations in a cylinder
• Interior regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
• Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
• On axially symmetric flows in \(\mathbb{R}^3\)
• On the regularity of weak solutions to the MHD system near the boundary
• On axially symmetric incompressible magnetohydrodynamics in three dimensions
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Boundary partial regularity for the Navier-Stokes equations
• The local regularity theory for the Navier-Stokes Equations Near the Boundary
• The Harnack inequality and related properties for solutions of elliptic and parabolic equations with divergence-free lower-order coefficients
• On Type I Singularities of the Local Axi-Symmetric Solutions of the Navier–Stokes Equations
• Regularity of Axially Symmetric Flows in a Half-Space in Three Dimensions
• Partial regularity of suitable weak solutions of the navier-stokes equations
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