Low Mach Number Limits and Acoustic Waves

Ning Jiang () and Nader Masmoudi ()
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Ning Jiang: Wuhan University, School of Mathematics and Statistics
Nader Masmoudi: New York University in Abu Dhabi, Saadiyat Island, Department of Mathematics

Chapter 48 in Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, pp 2721-2770 from Springer

Abstract: 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.

Date: 2018
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DOI: 10.1007/978-3-319-13344-7_69

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