We consider the Navier-Stokes system describing the motion of a compressible barotropic fluid driven by stochastic external forces. Our approach is semi-deterministic, based on solving the system for each fixed representative of the random variable and applying an abstract result on measurability of multi-valued maps.
The class of admissible driving forces includes the (temporal) white noise and the random kicks, considered recently in the context of incompressible fluid models. (C) 2012 Elsevier Inc. All rights reserved.