arXiv Analytics

Sign in

arXiv:2011.06394 [math.AP]AbstractReferencesReviewsResources

On the dispersion relation for compressible Navier-Stokes Equations

Saad Benjelloun, Jean-Michel Ghidaglia

Published 2020-11-12Version 1

In this paper we revisit the classical sound dispersion and attenuation theory due to Stokes \cite{Stokes}, 1845, and Kirchhoff \cite{Kirchhoff}, 1868, for the propagation of sound in non-ideal fluids. In particular we reformulate the analysis due to Fletcher \cite{Fletcher}, 1974, showing conditions for which the sound propagates at the isothermal speed of sound. Also we presents asymptotic developments making precise the physical conditions under which the different dispersion and attenuation formulas apply. The more complex case of two-fluid flow is addressed by Benjelloun and Ghidaglia \cite{BG} to which the reader is referred.

Related articles: Most relevant | Search more
arXiv:0804.1549 [math.AP] (Published 2008-04-09, updated 2008-11-26)
Blow up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations
arXiv:2401.12038 [math.AP] (Published 2024-01-22)
A Skew-Symmetric Energy Stable Almost Dissipation Free Formulation of the Compressible Navier-Stokes Equations
arXiv:1201.6203 [math.AP] (Published 2012-01-30, updated 2014-09-25)
A Lagrangian approach for the compressible Navier-Stokes equations