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

On Compressible Navier-Stokes Equations Subject to Large Potential Forces with Slip Boundary Conditions in 3D Bounded Domains