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

Eduard Feireisl; Jan Stebel; Ji\v{r}\'i Neustupa; Ond\v{r}ej Kreml; \v{S}\'arka Ne\v{c}asov\'a

arxiv: 1203.1215 · v1 · pith:EFNT3THQnew · submitted 2012-03-06 · 🧮 math.AP

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

Eduard Feireisl , Ond\v{r}ej Kreml , \v{S}\'arka Ne\v{c}asov\'a , Ji\v{r}\'i Neustupa , Jan Stebel This is my paper

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keywords boundaryweakbarotropicconditionsdomainsnavier-stokesslipsolutions

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

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