Publication

Homogenization and long time asymptotic of a fluid-structure interaction problem

2008
Journal paper

Abstract

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.

Official source

https://infoscience.epfl.ch/record/161228?ln=en

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MATHICSE2016

Homogenization and long time asymptotic of a fluid-structure interaction problem

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MATHICSE Technical Report : Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization

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Effective models for the multidimensional wave equation in heterogeneous media over long time and numerical homogenization