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Handbook of Mathematical Analysis in Mechanics of Viscous Fluids pp 1–50Cite as

Low Mach Number Limits and Acoustic Waves

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Abstract

This review is devoted to the low Mach number limits of the Navier-Stokes equations for the compressible fluids in the context of weak solutions. Acoustic waves play a crucial role in these limits. However, in the torus, whole space, and bounded domain cases, the behaviors of acoustic waves are significantly different.

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Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Luojia Mountain, 430072, Wuhan, P. R. China

    Ning Jiang

  2. Courant Institute, New York University, 251 Mercer Street, 10012, New York, NY, USA

    N. Masmoudi

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  1. Ning Jiang
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  2. N. Masmoudi
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Correspondence to Ning Jiang .

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Editors and Affiliations

  1. Tokyo, Tokyo, Japan

    Yoshikazu Giga

  2. Toulon, Var, France

    Antonin Novotny

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Jiang, N., Masmoudi, N. (2017). Low Mach Number Limits and Acoustic Waves. In: Giga, Y., Novotny, A. (eds) Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer, Cham. https://doi.org/10.1007/978-3-319-10151-4_69-1

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  • DOI: https://doi.org/10.1007/978-3-319-10151-4_69-1

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  • Print ISBN: 978-3-319-10151-4

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