Spatial-skin effect for eigenvibrations of a thick cascade junction with ‘heavy’ concentrated masses

DOI10.1002/mma.2785zbMath1282.35037OpenAlexW2065984344MaRDI QIDQ2874187

Taras A. Mel'nyk, Gregory A. Chechkin

Publication date: 29 January 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2785

zbMATH Keywords

concentrated massesasymptotic approximationspectral problemrapidly oscillating boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) General topics in linear spectral theory for PDEs (35P05) Eigenvalue problems for linear operators (47A75) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Junctions (74K30)

Related Items (7)

Weakly singular Steklov condition in the multidimensional case ⋮ On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type ⋮ Asymptotic approximation for the solution to a semi-linear parabolic problem in a thick junction with the branched structure ⋮ Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node ⋮ Asymptotic Approximations for Chemical Reactive Flows in Thick Fractal Junctions ⋮ Asymptotic expansion for the solution to a boundary-value problem in a thin cascade domain with a local joint ⋮ A Two-Dimensional Electrostatic Model of Interdigitated Comb Drive in Longitudinal Mode

Cites Work

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• Boundary-value problems for partial differential equations in non-smooth domains
• 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
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• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• VIBRATIONS OF A THICK PERIODIC JUNCTION WITH CONCENTRATED MASSES
• Asymptotic analysis of boundary-value problems in thick three-dimensional multi-level junctions
• Unnamed Item

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