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On a singular limit for the compressible rotating Euler system

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    SYSNO ASEP0531893
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleOn a singular limit for the compressible rotating Euler system
    Author(s) Nečasová, Šárka (MU-W) RID, SAI, ORCID
    Tang, T. (CN)
    Article number43
    Source TitleJournal of Mathematical Fluid Mechanics. - : Springer - ISSN 1422-6928
    Roč. 22, č. 3 (2020)
    Number of pages14 s.
    Languageeng - English
    CountryCH - Switzerland
    Keywordscompressible Euler equations ; singular limit ; low Mach number ; low Rossby number
    Subject RIVBA - General Mathematics
    OECD categoryPure mathematics
    R&D ProjectsGA16-03230S GA ČR - Czech Science Foundation (CSF)
    GA19-04243S GA ČR - Czech Science Foundation (CSF)
    Method of publishingLimited access
    Institutional supportMU-W - RVO:67985840
    UT WOS000566949600002
    EID SCOPUS85089971948
    DOI10.1007/s00021-020-00504-8
    AnnotationThe work addresses a singular limit for a rotating compressible Euler system in the low Mach number and low Rossby number regime. Based on the concept of dissipative measure-valued solution, the quasi-geostrophic system is identified as the limit problem in the case of ill-prepared initial data. The ill-prepared initial data will cause rapidly oscillating acoustic waves. Using dispersive estimates of Strichartz type, the effect of the acoustic waves in the asymptotic limit is eliminated.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2021
    Electronic addresshttps://doi.org/10.1007/s00021-020-00504-8
Number of the records: 1  

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