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Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions
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SYSNO ASEP 0535089 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions Author(s) Březina, J. (JP)
Feireisl, Eduard (MU-W) RID, SAI, ORCID
Novotný, A. (FR)Source Title Communications in Partial Differential Equations. - : Taylor & Francis - ISSN 0360-5302
Roč. 45, č. 12 (2020), s. 1820-1832Number of pages 13 s. Language eng - English Country US - United States Keywords absorbing set ; compressible Navier-Stokes system ; energetically open system ; in/out flux boundary conditions Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA18-05974S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000567561400001 EID SCOPUS 85090441597 DOI 10.1080/03605302.2020.1814326 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2021 Electronic address https://doi.org/10.1080/03605302.2020.1814326
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