ABSTRACT
In this note we study singular sets on the boundary for Stokes equations. Mainly we are concerned about the size of singular sets and removability. The relation between the size of interior singular set and removability is relatively well understood for Laplace equations. In particular We refer to the excellent book by Carleson (see [1]). Also the behaviour of solutions to Stokes and Navier-Stokes equations near isolated singular point are studied by several authors(see [3] and [6]). When the singular sets are large, the languages of capacity and Hausdorff measure are most convenient. Indeed Shapiro studied the removability of interior singular sets for Navier-Stokes equations in terms of Newtonian capacity when the space dimension is three.
