The Minkowski dimension of boundary singular points in the Navier-Stokes equations (Q2314011)

Singular point for a solution of the Navier-Stokes system is defined as a point where the velocity field is not continuous. The main result of the paper is that for solutions to the Navier-Stokes system in three dimensional domains, the Minkowski dimension (also called: entropy or box-counting dimension) of singular points at the boundary of the domain of is not greater than \(\frac{3}{2}\). Relations with regularity results and the dimension of interior singular points are discussed.