On the local smoothness of weak solutions to the MHD system near the boundary

DOI10.1007/s10958-012-0950-9zbMath1261.35124arXiv1201.0076OpenAlexW2058890060MaRDI QIDQ1947235

V. Vyalov

Publication date: 19 April 2013

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

Full work available at URL: https://arxiv.org/abs/1201.0076

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

Local regularity of the magnetohydrodynamics equations near the curved boundary ⋮ Weighted regularity criteria of weak solutions to the incompressible 3D MHD equations ⋮ 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

• On the boundary regularity of weak solutions to the MHD system
• Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
• Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm
• Boundary partial regularity for the Navier-Stokes equations
• On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator