Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations

2012/08/24 by Kang, Kyungkeun, Kim, Jae-Myoung · 1 citation
#35Q35 #76D03 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1208.4928

Abstract

We present some new regularity criteria for suitable weak solutions of magnetohydrodynamic equations near boundary in dimension three. We prove that suitable weak solutions are Hölder continuous near boundary provided that either the scaled L^p,q_x,t-norm of the velocity with 3/p+2/q≤ 2, 2

Cited by

• Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations

Related

• Regularity criteria for suitable weak solutions to the four dimensional incompressible magneto-hydrodynamic equations near boundary
• On the Regularity of Weak Solutions to the Magneto Hydrodynamics System near the curved part of the boundary
• Regularity criteria for suitable weak solutions of the Navier-Stokes equations near the boundary
• Regularity results for a model in magnetohydrodynamics with imposed pressure
• Boundary Regularity Criteria for the 6D Steady Navier-Stokes and MHD Equations