Počet záznamů: 1

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

  1. 1.
    0369765 - MU-W 2012 RIV US eng J - Článek v odborném periodiku
    Feireisl, Eduard
    Local decay of acoustic waves in the low Mach number limits on general unbounded domains under slip boundary conditions.
    Communications in Partial Differential Equations. Roč. 36, č. 10 (2011), s. 1778-1796 ISSN 0360-5302
    Grant CEP: GA ČR GA201/09/0917
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: compressible Navier-Stokes equations * low Mach number limit * RAGE theorem
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.894, rok: 2011
    http://www.tandfonline.com/doi/abs/10.1080/03605302.2011.602168

    We 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.
    Trvalý link: http://hdl.handle.net/11104/0203758
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