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research article
Homogenization and long time asymptotic of a fluid-structure interaction problem
Allaire, Gregoire
•
Ferriero, Alessandro
We study the homogenization of an unsteady fluid-structure interaction problem with a scaling corresponding to a long time asymptotic regime. We consider oscillating initial data which are Bloch wave packets corresponding to tubes vibrating in opposition of phase. We prove that the initial displacements follow the rays of geometric optics and that the envelope function evolves according to a Schrodinger equation which can be interpreted as an effect of dispersion.
Type
research article
Web of Science ID
WOS:000252487000001
Authors
Allaire, Gregoire
•
Ferriero, Alessandro
Publication date
2008
Volume
9
Start page
199
End page
220
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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