Excited resonance widths for Helmholtz resonators with straight neck

DOI10.4171/JST/304zbMath1446.76152arXiv1709.00894OpenAlexW3026456820MaRDI QIDQ2192441

Alain Grigis, Thomas Duyckaerts, André Martinez

Publication date: 17 August 2020

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

Full work available at URL: https://arxiv.org/abs/1709.00894

zbMATH Keywords

scattering resonanceexcited eigenvaluelower exponential bound

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Estimates of eigenvalues in context of PDEs (35P15) Hydro- and aero-acoustics (76Q05)

Cites Work

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• A free boundary approach to the Faber-Krahn inequality
• Scattering frequencies of resonators
• Estimates on the molecular dynamics for the predissociation process
• Resonance expansions in semi-classical propagation.

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