  Through a discussion of some typical unsteady hydrodynamic flows, we argue
that the time averaged hydrodynamic functions at each point give a rather
sparse filling of the local jet space. This situation then suggests a set of
time dependent probability functions that are shown to give evolution uniquely
defined by the Navier-Stokes equations through a set of "differential
distribution equations." The closure relations are therefore unique and have no
ad hoc characteristics. Annealing methods are proposed as a way to arrive at
the stable stationary solutions corresponding to time averaged fluid flow with
constant driving forces and fixed boundary conditions. Some applications of
this method to quantum statistical mechanics and kinetic theory to higher
orders are suggested.
