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Incompressible Limits and Propagation of Acoustic Waves in Large Domains with Boundaries

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    SYSNO ASEP0340508
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleIncompressible Limits and Propagation of Acoustic Waves in Large Domains with Boundaries
    Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
    Source TitleCommunications in Mathematical Physics. - : Springer - ISSN 0010-3616
    Roč. 294, č. 1 (2010), s. 73-95
    Number of pages23 s.
    Languageeng - English
    CountryUS - United States
    KeywordsNavier-Stokes-Fourier system ; low Mach number limit ; unbounded domain
    Subject RIVBA - General Mathematics
    R&D ProjectsGA201/08/0315 GA ČR - Czech Science Foundation (CSF)
    CEZAV0Z10190503 - MU-W (2005-2011)
    UT WOS000272614400004
    EID SCOPUS72249105310
    DOI10.1007/s00220-009-0954-6
    AnnotationWe study the incompressible limit for the full Navier-Stokes-Fourier system on unbounded domains with boundaries, supplemented with the complete slip boundary condition for the velocity field. Using an abstract result of Tosio Kato we show that the energy of acoustic waves decays to zero on any compact subset of the physical space. This in turn implies strong convergence of the velocity field to its limit in the incompressible regime.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2010
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