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

0535089 - MÚ 2021 RIV US eng J - Článek v odborném periodiku
Březina, J. - Feireisl, Eduard - Novotný, A.
Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions.
Communications in Partial Differential Equations. Roč. 45, č. 12 (2020), s. 1820-1832. ISSN 0360-5302. E-ISSN 1532-4133
Grant CEP: GA ČR(CZ) GA18-05974S
Institucionální podpora: RVO:67985840
Klíčová slova: absorbing set * compressible Navier-Stokes system * energetically open system * in/out flux boundary conditions
Obor OECD: Pure mathematics
Impakt faktor: 1.766, rok: 2020
Způsob publikování: Omezený přístup
https://doi.org/10.1080/03605302.2020.1814326

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 (Formula presented.) limit sets are compact and support a stationary statistical solution.
Trvalý link: http://hdl.handle.net/11104/0313200