Partial regularity of solutions to the magnetohydrodynamic equations

DOI10.1007/s10958-008-0095-zzbMath1202.35179OpenAlexW2058322680MaRDI QIDQ613715

V. Vyalov

Publication date: 21 December 2010

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

Full work available at URL: https://doi.org/10.1007/s10958-008-0095-z

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

Serrin-type regularity criteria for the 3D MHD equations via one velocity component and one magnetic component ⋮ A regularity criterion for the 3D MHD equations in a local BMO space ⋮ Local interior regularity for the 3D MHD equations in nonendpoint borderline Lorentz space ⋮ The energy conservations and lower bounds for possible singular solutions to the 3D incompressible MHD equations ⋮ Lie group solutions of magnetohydrodynamics equations and their well-posedness ⋮ Local regularity of the magnetohydrodynamics equations near the curved boundary ⋮ Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations ⋮ Interior condition on suitable weak solutions to the 3D MHD equations via pressure ⋮ On the regularity of weak solutions to the MHD system near the boundary

Cites Work

• Hausdorff measure and the Navier-Stokes equations
• On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Unnamed Item
• Unnamed Item

This page was built for publication: Partial regularity of solutions to the magnetohydrodynamic equations