Asymptotics of solutions to the spectral elasticity problem for a two-dimensional body with a small cavern

DOI10.1007/s10958-011-0270-5zbMath1227.35226OpenAlexW2023831459MaRDI QIDQ549543

Sergueï A. Nazarov

Publication date: 18 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0270-5

zbMATH Keywords

asymptotic expansion of eigenvaluesbody with a cavernspectral elasticity problem

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Two-sided estimates for eigenfrequencies in the John problem for a freely floating body

Cites Work

• Singular perturbations of curved boundaries in three dimensions. The spectrum of the Neumann Laplacian
• Polarization and moment tensors. With applications to inverse problems and effective medium theory
• Asymptotic property of an eigenfunction of the Laplacian under singular variation of domains - the Neumann condition -
• Splitting a multiple eigenvalue in the boundary value problem for a membrane clamped on a small part of the boundary
• Polarization matrices in anisotropic heterogeneous elasticity
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotics of solutions to the spectral elasticity problem for a two-dimensional body with a small cavern