Volume 56, Number 2, March-April 2022
|Page(s)||451 - 483|
|Published online||24 February 2022|
Mathematical analysis of Goldstein’s model for time-harmonic acoustics in flows
Airbus Central R&T, 22 Rue du Gouverneur Général Eboue, 92130 Issy Les Moulineaux, France
2 POEMS, CNRS, INRIA, ENSTA Paris, Institut Polytechnique de Paris, 91120 Palaiseau, France
* Corresponding author: firstname.lastname@example.org
Accepted: 10 January 2022
Goldstein’s equations have been introduced in 1978 as an alternative model to linearized Euler equations to model acoustic waves in moving fluids. This new model is particularly attractive since it appears as a perturbation of a simple scalar model: the potential model. In this work we propose a mathematical analysis of boundary value problems associated with Goldstein’s equations in the time-harmonic regime.
Mathematics Subject Classification: 35B20 / 35B45 / 35M32 / 35Q35
Key words: Goldstein’s equations / aeroacoustics / well-posedness / Fredholm alternative
© The authors. Published by EDP Sciences, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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