  In this paper, we study the Navier-Stokes equations of compressible,
barotropic flow posed in a bounded set in $\mathbb{R}^3$ with different
boundary conditions. Specifically, we prove that the local-in-time smooth
solution of the Navier-Stokes equations with Navier boundary condition
converges to the smooth solution of the Navier-Stokes equations with no-slip
boundary condition as the Navier friction coefficient tends to infinity.
