Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains

preprint2012arXivOpen access

Abstract

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 behaviour, viscosity, and the pressure in the weak formulation. Global-in-time weak solutions are obtained.

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