  In this paper, we study the homogenization problems for the stationary
compressible Navier-Stokes system in a bounded 2D domain, where the domain is
perforated with very tiny holes (or obstacles) whose diameters are much smaller
than their mutual distances. We obtain that the process of homogenization
doesn't change the motion of the fluids. From another point of view, we obtain
the same system of equations in the asymptotic limit. It is the first result of
homogenization problem in the compressible case in 2 dimensions.
