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Acoustic Analogies

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Singular Limits in Thermodynamics of Viscous Fluids

Part of the book series: Advances in Mathematical Fluid Mechanics ((AMFM))

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Abstract

We interpret certain results on the singular limits of the Navier-Stokes-Fourier system in terms of the acoustic analogies. An acoustic analogy is represented by a non-homogeneous wave equation supplemented with source terms obtained simply by regrouping the original (primitive) system. In the low Mach number regime, the source terms may be evaluated on the basis of the limit (incompressible) system. This is the principal idea of the so-called hybrid method used in numerical analysis.

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Authors and Affiliations

  1. ASCR Praha Mathematical Institute, Praha 1, Czech Republic

    Eduard Feireisl

  2. Université de Toulon, IMATH, La Garde, France

    Antonín Novotný

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  1. Eduard Feireisl
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Feireisl, E., Novotný, A. (2017). Acoustic Analogies. In: Singular Limits in Thermodynamics of Viscous Fluids. Advances in Mathematical Fluid Mechanics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-63781-5_10

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