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.
Keywords: Goldstein’s equations, aeroacoustics, well-posedness, Fredholm alternative
@article{M2AN_2022__56_2_451_0,
author = {Bensalah, Antoine and Joly, Patrick and Mercier, Jean-Francois},
title = {Mathematical analysis of {Goldstein{\textquoteright}s} model for time-harmonic acoustics in flows},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {451--483},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {2},
doi = {10.1051/m2an/2022007},
mrnumber = {4385102},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an/2022007/}
}
TY - JOUR AU - Bensalah, Antoine AU - Joly, Patrick AU - Mercier, Jean-Francois TI - Mathematical analysis of Goldstein’s model for time-harmonic acoustics in flows JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2022 SP - 451 EP - 483 VL - 56 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/m2an/2022007/ DO - 10.1051/m2an/2022007 LA - en ID - M2AN_2022__56_2_451_0 ER -
%0 Journal Article %A Bensalah, Antoine %A Joly, Patrick %A Mercier, Jean-Francois %T Mathematical analysis of Goldstein’s model for time-harmonic acoustics in flows %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2022 %P 451-483 %V 56 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/m2an/2022007/ %R 10.1051/m2an/2022007 %G en %F M2AN_2022__56_2_451_0
Bensalah, Antoine; Joly, Patrick; Mercier, Jean-Francois. Mathematical analysis of Goldstein’s model for time-harmonic acoustics in flows. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 56 (2022) no. 2, pp. 451-483. doi: 10.1051/m2an/2022007
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