Effective equation for a system of mechanical oscillators in an acoustic field

Claudio Cacciapuoti, Rodolfo Figari, Andrea Posilicano

Published 2012-07-24, updated 2014-06-04Version 2

We consider a one dimensional evolution problem modeling the dynamics of an acoustic field coupled with a set of mechanical oscillators. We analyze solutions of the system of ordinary and partial differential equations with time-dependent boundary conditions describing the evolution in the limit of a continuous distribution of oscillators.