Existence and uniqueness of a solution to an aeroacoustic model

DOI10.1142/S0252959902000031zbMath1007.35078MaRDI QIDQ1600012

E. Goût-d'Henin, Philippe Destuynder

Publication date: 20 March 2003

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesslinear theorypotential functionflexible structureflat membraneSteklov eigenvalue analysisthree-dimensional aeroacoustic waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Hydro- and aero-acoustics (76Q05) Existence of solutions of dynamical problems in solid mechanics (74H20)

Related Items (2)

A Sufficient Condition for the Absence of Two-Dimensional Instabilities of an Elastic Plate in a Duct with Compressible Flow ⋮ Exact controllability in fluid – solid structure: The Helmholtz model

Cites Work

• Numerical solution of conservation equations arising in linear wave theory: application to aeroacoustics
• A linear model of a finite amplitude Helmholtz instability

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