A new spectral problem in fluid-structure interaction with transpiration

Abstract

International audienceThe 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.Dans cette Note on caractérise les valeurs et vecteurs propres d'un nouveau problème spectral couplant les équations de Navier-Stokes incompressibles linéarisées et celles d'une structure réduite, par le moyen des conditions de type transpiration, et issu de l'analyse de stabilité de systèmes en interaction fluide-structure. Notre approche s'appuie sur la définition d'un opérateur compact particulier agissant dans un espace de Hilbert

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Hal-Diderot

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Last time updated on 08/11/2016

This paper was published in Hal-Diderot.

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