%0 Journal Article
%T Stability of acoustic propagation in 2D duct flows: A low frequency approach
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%+ Institut de Mathématiques de Bordeaux (IMB)
%A Bonnet-Ben Dhia, Anne-Sophie
%A Duruflé, Marc
%A Joly, Patrick
%A Joubert, Lauris
%< avec comité de lecture
%@ 0218-2025
%J Mathematical Models and Methods in Applied Sciences
%I World Scientific Publishing
%V 21
%N 5
%P 1121-1151
%8 2011
%D 2011
%R 10.1142/s0218202511005271
%K Spectral theory
%K hydrodynamic stability
%K acoustics in flow
%K asymptotic analysis
%Z Mathematics [math]/Mathematical Physics [math-ph]
%Z Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph]
%Z Engineering Sciences [physics]/Acoustics [physics.class-ph]Journal articles
%X In this paper, we derive a simplified "quasi-1D" limit model for the propagation of low frequency acoustic waves in a laminar flow filling a 2D duct. We analyze the well-posedness of this model in function of the Mach profile of the flow. This can be reduced to the study of the spectrum of a bounded non-normal operator. As a by-product of this analysis, we establish new results for hydrodynamic instabilities of KelvinHelmholtz type in compressible fluids. © 2011 World Scientific Publishing Company.
%G English
%L hal-00849576
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-00849576
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