The low-frequency spectrum of small Helmholtz resonators

We analyse the spectrum of the Laplace operator in a complex geometry, representing a small Helmholtz resonator. The domain is obtained from a bounded set Ω⊂Rn by removing a small obstacle Σ ⊂Ω of size >0. The set Σ essentially separates an interior domain Ωεinn (the resonator volume) from an ext...

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Veröffentlicht in:Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2015-02, Vol.471 (2174), p.20140339
1. Verfasser: Schweizer, B.
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Sprache:eng
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