Membranes with thin and heavy inclusions: Asymptotics of spectra

DOI10.3233/ASY-211743zbMath1498.35529arXiv2101.10059MaRDI QIDQ5040036

Publication date: 11 October 2022

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

Full work available at URL: https://arxiv.org/abs/2101.10059

zbMATH Keywords

singular perturbation asymptotics of eigenvalues concentrated mass non-self-adjoint operator quasimode eigenvalue of infinite multiplicity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Vibrations in dynamical problems in solid mechanics (74H45) Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

On vibrations of bodies with concentrated masses near boundaries
Asymptotics for the spectrum of the Wentzell problem with a small parameter and other related stiff problems
Eigenoscillations of a string with an additional mass
Local problems for vibrating systems with concentrated masses: a review
Asymptotics for the eigenelements of vibrating membranes with very heavy thin inclusions
Partial differential equations V. Asymptotic methods for partial differential equations. Transl. from the Russian by J. S. Joel and S. A. Wolf
Asymptotic expansions of local eigenvibrations for plate with density perturbed in neighborhood of one-dimensional manifold
On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary
Localization effects for Dirichlet problems in domains surrounded by thin stiff and heavy bands
Estimation of solutions of boundary-value problems in domains with concentrated masses located periodically along the boundary: case of light masses
Spectral stiff problems in domains surrounded by thin bands: asymptotic and uniform estimates for eigenvalues
High frequency asymptotic analysis of a string with rapidly oscillating density
Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses
Asymptotic expansions of eigenvalues and eigenfunctions of an elliptic operator in a domain with many “light” concentrated masses situated on the boundary. Two-dimensional case
ON VIBRATIONS OF A BODY WITH MANY CONCENTRATED MASSES NEAR THE BOUNDARY
Low Frequency Asymptotic Analysis of a String with Rapidly Oscillating Density
On Vibrating Thin Membranes with Mass Concentrated Near the Boundary: An Asymptotic Analysis
Non-periodic boundary homogenization and "light" concentrated masses
VIBRATIONS OF A THICK PERIODIC JUNCTION WITH CONCENTRATED MASSES
VIBRATIONS OF A MEMBRANE WITH MANY CONCENTRATED MASSES NEAR THE BOUNDARY
On spectrum of strings with δ'-like perturbations of mass density
ON VIBRATING MEMBRANES WITH VERY HEAVY THIN INCLUSIONS
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