Asymptotic partial decomposition of domain for spectral problems in rod structures

DOI10.1016/j.matpur.2006.10.003zbMath1107.74020OpenAlexW2064624258MaRDI QIDQ871053

M. Eugenia Pérez, Gregory P. Panasenko

Publication date: 15 March 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2006.10.003

zbMATH Keywords

convergencethin domainsspectral analysis

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

The emergence of eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin strip ⋮ Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods ⋮ A spectral problem for the Laplacian in joined thin films ⋮ Long time approximations for solutions of wave equations associated with the Steklov spectral homogenization problems ⋮ Asymptotic analysis of the high frequencies for the Laplace operator in a thin t-like shaped structure

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