%0 Journal Article
%T Boundary Regularity Criteria for the 6D Steady Navier-Stokes and MHD Equations
%A Jitao Liu
%A Wendong Wang
%J Mathematics
%D 2013
%I arXiv
%X It is shown in this paper that suitable weak solutions to the 6D steady incompressible Navier-Stokes and MHD equations are H\"older continuous near boundary provided that either $r^{-3}\int_{B_r^+}|u(x)|^3dx$ or $r^{-2}\int_{B_r^+}|\nabla u(x)|^2dx$ is sufficiently small, which implies that the 2D Hausdorff measure of the set of singular points near the boundary is zero. This generalizes recent interior regularity results by Dong-Strain \cite{DS}.
%U http://arxiv.org/abs/1309.3158v2