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We study a local regularity condition for a suitable weak solution of the magnetohydrodynamics equations in a half space R+. More precisely, we prove that a suitable weak solution is Hölder continuous near boundary provided that the quantity lim sup r→0 1 √ r ∥∥∥‖u‖L2(B+ x,r)∥∥∥L∞(t−r2,t) is sufficiently small near the boundary. Furthermore, we briefly add some global regularity criteria of weak solutions to this system.

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