Local regularity for suitable weak solutions of the Navier–Stokes equations

A class of conditions sufficient for local regularity of suitable weak solutions of the non-stationary three-dimensional Navier–Stokes equations is discussed. The corresponding results are formulated in terms of functionals invariant with respect to the scaling of the Navier–Stokes equations. The well-known Caffarelli–Kohn–Nirenberg condition is contained in the class as a particular case.