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

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    0535089 - MÚ 2021 RIV US eng J - Journal Article
    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
    R&D Projects: GA ČR(CZ) GA18-05974S
    Institutional support: RVO:67985840
    Keywords : absorbing set * compressible Navier-Stokes system * energetically open system * in/out flux boundary conditions
    Subject RIV: BA - General Mathematics
    OBOR OECD: Pure mathematics
    Impact factor: 1.079, year: 2019
    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.
    Permanent Link: http://hdl.handle.net/11104/0313200
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