The study of the resonances of the Helmholtz resonator has been broadly described in previous works. Here, for a simple two dimensional resonator in the shape of a tube, we analyze the transition zone where oscillations start to appear. Following a careful analysis, we obtain an optimal lower bound of the width of the resonances.

A. Martinez, L. Nédélec (2012). Optimal lower bound of the resonance widths for a Helmoltz tube-shaped resonator. JOURNAL OF SPECTRAL THEORY, 2(2), 203-223 [10.4171/JST/27].

Optimal lower bound of the resonance widths for a Helmoltz tube-shaped resonator

MARTINEZ, ANDRE' GEORGES;
2012

Abstract

The study of the resonances of the Helmholtz resonator has been broadly described in previous works. Here, for a simple two dimensional resonator in the shape of a tube, we analyze the transition zone where oscillations start to appear. Following a careful analysis, we obtain an optimal lower bound of the width of the resonances.
2012
A. Martinez, L. Nédélec (2012). Optimal lower bound of the resonance widths for a Helmoltz tube-shaped resonator. JOURNAL OF SPECTRAL THEORY, 2(2), 203-223 [10.4171/JST/27].
A. Martinez; L. Nédélec
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/115415
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 7
social impact