Effective equation for a system of mechanical oscillators in an acoustic field
Mathematical Physics
2015-02-20 v2 math.MP
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.
Keywords
Cite
@article{arxiv.1207.5676,
title = {Effective equation for a system of mechanical oscillators in an acoustic field},
author = {Claudio Cacciapuoti and Rodolfo Figari and Andrea Posilicano},
journal= {arXiv preprint arXiv:1207.5676},
year = {2015}
}
Comments
Improved Theorem 2. Updated introduction and references. Added 1 figure. 11 pages