  We first show local-in-time well-posedness of the compressible Navier-Stokes
equations, assuming striated regularity while no other smoothness or smallness
conditions on the initial density. With these local-in-time solutions served as
blocks, for \textit{less} regular initial data where the vacuum is permitted,
the global-in-time well-posedness follows from the energy estimates and the
propagated striated regularity of the density function, if the bulk viscosity
coefficient is large enough in the two dimensional case. The global-in-time
well-posedness holds also true in the three dimensional case, provided with
large bulk viscosity coefficient together with small initial energy. This
solves the density-patch problem in the exterior domain for the compressible
model with $W^{2,p}$-Interfaces. Finally, the singular incompressible limit
toward the inhomogenous incompressible model when the bulk viscosity
coefficient tends to infinity is obtained.
