A new spectral problem in fluid-structure interaction with transpiration

Miguel Ángel Fernández; Patrick Le Tallec

doi:10.1016/S1631-073X(02)02236-7

A new spectral problem in fluid-structure interaction with transpiration

Titre traduit de la contribution: Un nouveau problème spectral en interaction fluide-structure avec transpiration

Miguel Ángel Fernández
, Patrick Le Tallec

INRIA Rocquencourt

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

Résumé

The aim of this Note is to provide a rigorous mathematical treatment of a new spectral problem, coming from a linear stability analysis in fluid-structure interaction. This eigenproblem involves the linearized incompressible Navier-Stokes equations coupled with those of a reduced structure, by means of specific transpiration boundary conditions. We prove that the eigensolutions of this spectral problem can be obtained from the characteristic values of a compact operator acting on a Hilbert space.

Titre traduit de la contribution	Un nouveau problème spectral en interaction fluide-structure avec transpiration
langue originale	Anglais
Pages (de - à)	167-172
Nombre de pages	6
journal	Comptes Rendus Mathematique
Volume	334
Numéro de publication	2
Les DOIs	https://doi.org/10.1016/S1631-073X(02)02236-7
état	Publié - 30 janv. 2002

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10.1016/S1631-073X(02)02236-7

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abstract = "The aim of this Note is to provide a rigorous mathematical treatment of a new spectral problem, coming from a linear stability analysis in fluid-structure interaction. This eigenproblem involves the linearized incompressible Navier-Stokes equations coupled with those of a reduced structure, by means of specific transpiration boundary conditions. We prove that the eigensolutions of this spectral problem can be obtained from the characteristic values of a compact operator acting on a Hilbert space.",

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AB - The aim of this Note is to provide a rigorous mathematical treatment of a new spectral problem, coming from a linear stability analysis in fluid-structure interaction. This eigenproblem involves the linearized incompressible Navier-Stokes equations coupled with those of a reduced structure, by means of specific transpiration boundary conditions. We prove that the eigensolutions of this spectral problem can be obtained from the characteristic values of a compact operator acting on a Hilbert space.

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A new spectral problem in fluid-structure interaction with transpiration

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