Point interactions in acoustics: one dimensional models

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dc.creatorCacciapuoti, C.
dc.creatorFigari, R.
dc.creatorPosilicano, A.
dc.date2005-04-28
dc.date2006-07-11
dc.date.accessioned2026-07-07T06:38:37Z
dc.date.available2026-07-07T06:38:37Z
dc.descriptionA one dimensional system made up of a compressible fluid and several mechanical oscillators, coupled to the acoustic field in the fluid, is analyzed for different settings of the oscillators array. The dynamical models are formulated in terms of singular perturbations of the decoupled dynamics of the acoustic field and the mechanical oscillators. Detailed spectral properties of the generators of the dynamics are given for each model we consider. In the case of a periodic array of mechanical oscillators it is shown that the energy spectrum presents a band structure.
dc.descriptionrevised version, 30 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0504083
dc.identifierhttp://arxiv.org/abs/math-ph/0504083
dc.identifierJ. Math. Phys. 47, 062901 (2006)
dc.identifierdoi:10.1063/1.2209553
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100799
dc.subjectMathematical Physics
dc.subject47D06; 34K26
dc.titlePoint interactions in acoustics: one dimensional models
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