On the boundary regularity of weak solutions to the MHD system

DOI10.1007/s10958-011-0545-xzbMath1304.35574arXiv1211.0795OpenAlexW1987891725MaRDI QIDQ476663

J. Herrera, Sumit K. Garg

Publication date: 2 December 2014

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

Full work available at URL: https://arxiv.org/abs/1211.0795

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) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (7)

On the local smoothness of some class of axially-symmetric solutions to the MHD equations ⋮ On the local smoothness of weak solutions to the MHD system near the boundary ⋮ Local regularity of the magnetohydrodynamics equations near the curved boundary ⋮ Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations ⋮ On the regularity of weak solutions to the MHD system near the boundary ⋮ On the role of pressure in the theory of MHD equations ⋮ A new sufficient condition for local regularity of a suitable weak solution to the MHD equations

Cites Work

• Unnamed Item
• Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
• Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations
• Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm
• On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Boundary partial regularity for the Navier-Stokes equations
• Local regularity for suitable weak solutions of the Navier-Stokes equations
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Partial regularity of suitable weak solutions of the navier-stokes equations

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