Interaction of concentrated masses in a harmonically oscillating spatial body with Neumann boundary conditions

DOI10.1051/m2an/1993270607771zbMath0791.35090OpenAlexW2493874371MaRDI QIDQ4278038

Sergueï A. Nazarov

Publication date: 1 February 1994

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193723

zbMATH Keywords

asymptotic behaviourNeumann eigenvalue problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (11)

VIBRATIONS OF A THICK PERIODIC JUNCTION WITH CONCENTRATED MASSES ⋮ On the vibrations of a plate with a concentrated mass and very small thickness ⋮ Asymptotics of eigenelements to spectral problem in thick cascade junction with concentrated masses ⋮ Scattering of a plane wave on a periodic curve with trapping domains ⋮ Opening of a gap in the continuous spectrum of a periodically perturbed waveguide ⋮ Spectrum of a diffusion operator with coefficient changing sign over a small inclusion ⋮ On multi-scale asymptotic structure of eigenfunctions in a boundary value problem with concentrated masses near the boundary ⋮ Mixed boundary value problems in singularly perturbed two-dimensional domains with the Steklov spectral condition ⋮ Asymptotics of the eigenvalues of boundary value problems for the Laplace operator in a three-dimensional domain with a thin closed tube ⋮ Formal asymptotics of eigenmodes for oscillating elastic spatial bodies with concentrated masses ⋮ Hausdorff convergence and asymptotic estimates of the spectrum of a perturbed operator

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