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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Jiang, N., & Masmoudi, N. (2018). Low mach number limits and acoustic waves. In Handbook of Mathematical Analysis in Mechanics of Viscous Fluids (pp. 2721–2770). Springer International Publishing. https://doi.org/10.1007/978-3-319-13344-7_69

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