Resonances of an elastic resonator

DOI10.1080/00036810008840864zbMath1016.37040OpenAlexW2028889601WikidataQ58249300 ScholiaQ58249300MaRDI QIDQ2729494

Claudio Fernandez, Gustavo Perla Menzala

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840864

zbMATH Keywords

existenceuniquenessblow-up phenomenanonlinear latticesFermi-Pasta-Ulam lattice

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Singular perturbations in context of PDEs (35B25) Vibrations in dynamical problems in solid mechanics (74H45) Wave scattering in solid mechanics (74J20) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Lattice dynamics; integrable lattice equations (37K60)

Related Items (2)

Resonant frequencies for a system of time-harmonic elastic wave ⋮ Resonance meets homogenization. Construction of meta-materials with astonishing properties

Cites Work

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• A pole-free strip for potential scattering
• Scattering frequencies for a perturbed system of elastic wave equations
• Asymptotic distribution of resonances in one dimension
• Existence of resonances in three dimensions
• On the scattering frequencies of time-dependent potentials
• Decaying modes for the wave equation in the exterior of an obstacle
• Approximation of obstacles by high potentials; convergence of scattering waves
• Scattering frequencies of resonators

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