Remark on local boundary regularity condition of a suitable weak solution to the 3D MHD equations

We study a local regularity condition for a suitable weak solution of the magnetohydrodynamics equations in a half space R3 +. More precisely, we prove that a suitable weak solution is Hölder continuous near boundary provided that the quantity lim sup r→0 1 r kukL 2(B x,r) L∞(t−r 2,t) is sufficiently small near the boundary. Furthermore, we briefly add some global regularity criteria of weak solutions to this system