  This paper proves the uniqueness of measure for the two-dimensional
Navier-Stokes equations under a random kick-force and a time-dependent
deterministic force. By extending a result for uniqueness of measure for
time-homogeneous Markov processes to the time-inhomogeneous case, it is shown
that the measures are exponentially mixing for the 2D Navier-Stokes equations
on the sphere.
