  We deal with the barotropic compressible Navier-Stokes equations subject to
large external potential forces with slip boundary condition in a 3D simply
connected bounded domain, whose smooth boundary has a finite number of 2D
connected components. The global existence of strong or classical solutions to
the initial boundary value problem of this system is established provided the
initial energy is suitably small. Moreover, the density has large oscillations
and contains vacuum states. Finally, we show that the global strong or
classical solutions decay exponentially in time to the equilibrium in some
Sobolev's spaces, but the oscillation of the density will grow unboundedly in
the long run with an exponential rate when the initial density contains vacuum
states.
