On partial regularity for the Navier-Stokes equations

We consider the partial regularity of suitable weak solutions of the Navier-Stokes equations in a domain D. We prove that the parabolic Hausdorff dimension of space-time singularities in D is less than or equal to 1 provided the force f satisfies f is an element of L-2(D). Our argument simplifies the proof of a classical result of Caffarelli, Kohn, and Nirenberg, who proved the partial regularity under the assumption f is an element of L5/2+delta where delta > 0.