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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.
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Submitted on : Wednesday, June 6, 2012 - 7:38:16 PM
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Miguel Angel Fernández, Patrick Le Tallec. A new spectral problem in fluid-structure interaction with transpiration. Comptes Rendus. Mathématique, 2002, 334 (2), pp.167-172. ⟨10.1016/S1631-073X(02)02236-7⟩. ⟨hal-00705120⟩



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