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arxiv: 1207.5676 · v2 · pith:BYZEVYVDnew · submitted 2012-07-24 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords oscillatorsacousticevolutionfieldmechanicalsystemanalyzeboundary
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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.

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