Mathematical analysis of Goldstein's model for time harmonic acoustics in flow

IF 1.9 3区数学 Q2 Mathematics

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique Pub Date : 2022-01-18 DOI:10.1051/m2an/2022007

A. Bensalah, P. Joly, J. Mercier

引用次数: 0

Abstract

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 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.

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流动中时谐声学Goldstein模型的数学分析

戈尔茨坦方程在1978年被引入，作为线性化欧拉方程的替代模型来模拟运动流体中的声波。这个新模型特别吸引人，因为它表现为一个简单标量模型的扰动:势模型。在这项工作中，我们提出了一个数学分析的边值问题与Goldstein的方程在时间调和制度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique 数学-应用数学

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

6-12 weeks

期刊介绍： M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.