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

Miguel Ángel Fernández
, Patrick Le Tallec

INRIA Rocquencourt

Research output: Contribution to journal › Article › peer-review

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.

Translated title of the contribution	Un nouveau problème spectral en interaction fluide-structure avec transpiration
Original language	English
Pages (from-to)	167-172
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	334
Issue number	2
DOIs	https://doi.org/10.1016/S1631-073X(02)02236-7
Publication status	Published - 30 Jan 2002

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title = "A new spectral problem in fluid-structure interaction with transpiration",

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

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

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A new spectral problem in fluid-structure interaction with transpiration

Abstract

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