  We study hydrodynamic fluctuations in a compressible and viscous fluid film
confined between two rigid, no-slip, parallel plates, where one of the plates
is kept fixed, while the other one is driven in small-amplitude, translational,
displacements around its reference position. This jiggling motion is assumed to
be driven by a stochastic, external, surface forcing of zero mean and finite
variance. Thus, while the transverse (shear) and longitudinal (compressional)
hydrodynamic stresses produced in the film vanish on average on either of the
plates, these stresses exhibit fluctuations that can be quantified through
their equal-time, two-point, correlation functions. For transverse stresses, we
show that the correlation functions of the stresses acting on the same plate
(self-correlators) as well as the correlation function of the stresses acting
on different plates (cross-correlators) exhibit universal, decaying, power-law
behaviors as functions of the inter-plate separation. At small separations, the
exponents are given by -1, while at large separations, the exponents are found
as -2 (self-correlator on the fixed plate), -4 (excess self-correlator on the
mobile plate) and -3 (cross-correlator). For longitudinal stresses, we find
much weaker power-law decays in the large separation regime, with exponents
-3/2 (excess self-correlator on the mobile plate) and -1 (cross-correlator).
The self-correlator on the fixed plate increases and levels off upon increasing
the inter-plate separation, reflecting the non-decaying nature of the
longitudinal forces acting on the fixed plate.
