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

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

2012-03-06

arxiv.org/abs/1203.1215v1

Mathematics

Analysis of PDEs

Scientific paper

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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