A new spectral problem in fluid-structure interaction with transpiration

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


Published in:
comptes rendus de l'académie des sciences série i: mathématique, 334, 2, 167-172
Year:
2002
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 Record created 2007-04-24, last modified 2018-03-17

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