Mathematical analysis of Goldsteina s model for time-harmonic acoustics in flows

Antoine Bensalah; Patrick Joly; Jean Francois Mercier

doi:10.1051/m2an/2022007

Mathematical analysis of Goldsteina s model for time-harmonic acoustics in flows

Antoine Bensalah
, Patrick Joly
, Jean Francois Mercier

Airbus Central RandT

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

3 Citations (Scopus)

Résumé

Goldsteina 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 Goldsteina s equations in the time-harmonic regime.

langue originale	Anglais
Pages (de - à)	451-483
Nombre de pages	33
journal	ESAIM: Mathematical Modelling and Numerical Analysis
Volume	56
Numéro de publication	2
Les DOIs	https://doi.org/10.1051/m2an/2022007
état	Publié - 1 mars 2022

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10.1051/m2an/2022007

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title = "Mathematical analysis of Goldsteina s model for time-harmonic acoustics in flows",

abstract = "Goldsteina 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 Goldsteina s equations in the time-harmonic regime.",

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AU - Bensalah, Antoine

AU - Joly, Patrick

AU - Mercier, Jean Francois

N1 - Publisher Copyright: ©

PY - 2022/3/1

Y1 - 2022/3/1

N2 - Goldsteina 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 Goldsteina s equations in the time-harmonic regime.

AB - Goldsteina 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 Goldsteina s equations in the time-harmonic regime.

KW - Aeroacoustics

KW - Fredholm alternative

KW - Goldsteina s equations

KW - Well-posedness

U2 - 10.1051/m2an/2022007

DO - 10.1051/m2an/2022007

M3 - Article

AN - SCOPUS:85126033653

SN - 2822-7840

VL - 56

SP - 451

EP - 483

JO - ESAIM: Mathematical Modelling and Numerical Analysis

JF - ESAIM: Mathematical Modelling and Numerical Analysis

IS - 2

ER -

Mathematical analysis of Goldsteina s model for time-harmonic acoustics in flows

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