  As in our previous paper, the 3D Navier-Stokes equations with a
translationally bounded force contain pullback attractors in a weak sense.
Moreover, those attractors consist of complete bounded trajectories. In this
paper, we present a sufficient condition under which the pullback attractors
are degenerate. That is, if the Grashof constant is small enough, the pullback
attractor will be a single point on a unique, complete, bounded, strong
solution. We then apply our results to provide a new proof of the existence of
a unique, strong, periodic solution to the 3D Navier-Stokes with a small,
periodic forcing term.
