Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains
arXiv:1203.1215 · doi:10.1016/j.jde.2012.08.019
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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