Homogenization and asymptotics for a membrane with closely spaced clamping points

zbMath1027.35012MaRDI QIDQ1395158

Rustem R. Gadyl'shin

Publication date: 29 June 2003

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

vibrationsLaplace operatorfrequently varying type of boundary conditionsNeumann limit problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Asymptotic expansions of solutions to PDEs (35C20) Membranes (74K15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (6)

Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics ⋮ On boundary-value problems for the Laplacian in bounded domains with micro inhomogeneous structure of the boundaries ⋮ Asymptotic analysis of boundary-value problems for the Laplace operator with frequently alternating type of boundary conditions ⋮ On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition ⋮ On resolvent of multi-dimensional operators with frequent alternation of boundary conditions: critical case ⋮ Estimate of the spectrum deviation of the singularly perturbed Steklov problem

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