| Issue |
ESAIM: M2AN
Volume 56, Number 2, March-April 2022
|
|
|---|---|---|
| Page(s) | 451 - 483 | |
| DOI | https://doi.org/10.1051/m2an/2022007 | |
| Published online | 24 February 2022 | |
Mathematical analysis of Goldstein’s model for time-harmonic acoustics in flows
1
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: antoine.bensalah@airbus.com
Received:
4
August
2021
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
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