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

Article type: Research Article

Authors: Cacciapuoti, Claudio^; | Figari, Rodolfo^{; ;} | Posilicano, Andrea

Affiliations: Hausdorff Center for Mathematics, Institute for Applied Mathematics, Bonn Universität, Bonn, Germany. E-mail: claudio.cacciapuoti@uninsubria.it | Dipartimento di Scienze Fisiche, Università di Napoli Federico II, Napoli, Italy | Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Napoli, Italy. E-mail: figari@na.infn.it | Dipartimento di Scienza e Alta Tecnologia, Università dell'Insubria, Como, Italy. E-mail: posilicano@uninsubria.it

Note: [] Current address: Dipartimento di Scienza e Alta Tecnologia, Università dell'Insubria, Via Valleggio 11, 22100 Como, Italy.

Note: [] Corresponding author: Rodolfo Figari, Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Via Cintia, 80126 Napoli, Italy. E-mail: figari@na.infn.it

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: homogenization, point interactions, field–sources interaction

DOI: 10.3233/ASY-141264

Journal: Asymptotic Analysis, vol. 91, no. 3-4, pp. 253-264, 2015