Boundary regularity of suitable weak solution for the Navier–Stokes equations

We study Hausdorff dimension of boundary singular set for suitable weak solutions of the incompressible Navier–Stokes equations. Like [2] for suitable weak solution in the interior, logarithmic improvement of Hausdorff dimension is proved. The pressure estimate of the inhomogeneous Stokes equations by Green potential due to Solonnikov [5] is important.