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

Large friction limit of the compressible Navier-Stokes equations with Navier Boundary conditions in general three-dimensional domains