Skip to Main content Skip to Navigation
Journal articles

A new spectral problem in fluid-structure interaction with transpiration

Miguel Angel Fernández 1 Patrick Le Tallec 2
1 REO - Numerical simulation of biological flows
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, UPMC - Université Pierre et Marie Curie - Paris 6
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.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/hal-00705120
Contributor : Miguel Angel Fernández Connect in order to contact the contributor
Submitted on : Wednesday, June 6, 2012 - 7:38:16 PM
Last modification on : Friday, October 8, 2021 - 2:46:02 PM

Identifiers

`

Citation

Miguel Angel Fernández, Patrick Le Tallec. A new spectral problem in fluid-structure interaction with transpiration. Comptes Rendus. Mathématique, Centre Mersenne (2020-..) ; Elsevier Masson (2002-2019), 2002, 334 (2), pp.167-172. ⟨10.1016/S1631-073X(02)02236-7⟩. ⟨hal-00705120⟩

Share

Metrics

Record views

734