Effective equation for a system of mechanical oscillators in an acoustic field
arXiv:1207.5676 · doi:10.3233/ASY-141264
Abstract
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.
Improved Theorem 2. Updated introduction and references. Added 1 figure. 11 pages