Low mach number limits and acoustic waves

Ning Jiang, Nader Masmoudi

Research output: Chapter in Book/Report/Conference proceedingChapter

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.

Original languageEnglish (US)
Title of host publicationHandbook of Mathematical Analysis in Mechanics of Viscous Fluids
PublisherSpringer International Publishing
Pages2721-2770
Number of pages50
ISBN (Electronic)9783319133447
ISBN (Print)9783319133430
DOIs
StatePublished - Apr 19 2018

Fingerprint

Low Mach number
Acoustic Waves
Mach number
Acoustic waves
compressible fluids
acoustics
Compressible Fluid
Navier-Stokes equation
Navier Stokes equations
Weak Solution
Bounded Domain
Torus
Navier-Stokes Equations
Fluids
Review
Context

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)
  • Engineering(all)

Cite this

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

Low mach number limits and acoustic waves. / Jiang, Ning; Masmoudi, Nader.

Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer International Publishing, 2018. p. 2721-2770.

Research output: Chapter in Book/Report/Conference proceedingChapter

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