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Local decay of acoustic waves in the low Mach number limits on general unbounded domains under slip boundary conditions

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    SYSNO ASEP0369765
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleLocal decay of acoustic waves in the low Mach number limits on general unbounded domains under slip boundary conditions
    Author(s) Feireisl, Eduard (MU-W) RID, SAI, ORCID
    Source TitleCommunications in Partial Differential Equations. - : Taylor & Francis - ISSN 0360-5302
    Roč. 36, č. 10 (2011), s. 1778-1796
    Number of pages19 s.
    Languageeng - English
    CountryUS - United States
    Keywordscompressible Navier-Stokes equations ; low Mach number limit ; RAGE theorem
    Subject RIVBA - General Mathematics
    R&D ProjectsGA201/09/0917 GA ČR - Czech Science Foundation (CSF)
    CEZAV0Z10190503 - MU-W (2005-2011)
    UT WOS000299271900005
    EID SCOPUS80052576381
    DOI10.1080/03605302.2011.602168
    AnnotationWe discuss several aspects of the problem of propagation and dispersion of acoustic waves arising in the low Mach number asymptotic limits of compressible fluid systems. A general approach is proposed based on analysis of the spectral measures associated to the corresponding wave propagator. In particular, the local decay estimates based on a result of Tosio Kato and on RAGE theorem are obtained as limit cases. The approach is applied to problems on domains their shape may vary with the Mach number.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2012
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