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Paper detail

Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions

We consider the barotropic Navier--Stokes system describing the motion of a viscous compressible fluid interacting with the outer world through general in/out flux boundary conditions. We consider a hard--sphere type pressure EOS and show that all trajectories eventually enter a bounded absorbing set. In particular, the associated omega-limit sets are compact and support a stationary statistical solution.

preprint2020arXivOpen access
Jan BrezinaEduard FeireislAntonin Novotny
math.AP
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Jan BrezinaEduard FeireislAntonin Novotny

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