How opening a hole affects the sound of a flute

DOI10.4171/JST/17zbMath1232.35107arXiv1106.0655MaRDI QIDQ656196

Romain Joly

Publication date: 16 January 2012

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0655

zbMATH Keywords

thin domainsresonanceconvergence of operatorsmathematics for music and acoustic

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

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• Eigenvalue problems for nonsmoothly perturbed domains
• Asymptotic behavior of diffusion problems in a domain made of two cylinders of different diameters and lengths.
• Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
• Reaction-diffusion equation on thin domains
• Reaction-diffusion equations on thin domains with varying order of thinness
• The diffusion equation in a notched beam
• Spectre du laplacien et écrasement d'anses
• Sur Certaines Proprietes Spectrales Des Perturbations Du Domaine Dans Les Problemes Aux Limites
• Scattering frequencies of resonators

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