  We provide a Serrin type blow-up criterion for the 3-D viscous compressible
flows with large external potential force. For the Cauchy problem of the 3-D
compressible Navier-Stokes system with potential force term, it can be proved
that the strong solution exists globally if the velocity satisfies the Serrin's
condition and the sup-norm of the density is bounded. Furthermore, in the case
of isothermal flows with no vacuum, the Serrin's condition on the velocity can
be removed from the claimed criterion.
