We consider the compressible (barotropic) Navier-Stokes system on time dependent domains, supplemented with slip boundary conditions. Our approach is based on penalization of the boundary behavior, viscosity, and the pressure in the weak formulation. Global-in-time weak solutions are obtained.
We show convergence of a Brinkman-type penalization of the compressible Navier-Stokes equation. In particular, the existence of weak solutions for the system in domains with boundaries varying in time is established.
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