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

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.


Published in:
Discrete And Continuous Dynamical Systems-Series B, 9, 199-220
Year:
2008
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-09-25


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)