Spectral Patterns of Elastic Transmission Eigenfunctions: Boundary Localization, Surface Resonance, and Stress Concentration
DOI10.1137/22m1538417zbMath1529.35496arXiv2211.16729OpenAlexW4389340517MaRDI QIDQ6139402
Yan Jiang, Kai Zhang, Jiachuan Zhang, Hongyu Liu
Publication date: 18 December 2023
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.16729
stress concentrationspectral geometryLamé systemboundary localizationelastic transmission eigenfunctionssurface resonance
Estimates of eigenvalues in context of PDEs (35P15) Surface waves in solid mechanics (74J15) Wave scattering in solid mechanics (74J20) Inverse problems for waves in solid mechanics (74J25) Scattering theory of linear operators (47A40) PDEs in connection with mechanics of deformable solids (35Q74) Pattern formations in context of PDEs (35B36)
Cites Work
- Unnamed Item
- On an electromagnetic problem in a corner and its applications
- The finite element method for the elastic transmission eigenvalue problem with different elastic tensors
- On local and global structures of transmission eigenfunctions and beyond
- On new surface-localized transmission eigenmodes
- On vanishing near corners of transmission eigenfunctions
- Uniform Bounds for Bessel Functions
- “Best possible” upper and lower bounds for the zeros of the Bessel function 𝐽_{𝜈}(𝑥)
- Nonradiating Sources and Transmission Eigenfunctions Vanish at Corners and Edges
- Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems
- On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications
- On Geometrical Properties of Electromagnetic Transmission Eigenfunctions and Artificial Mirage
- Transmission Eigenvalues
- Effective Medium Theory for Embedded Obstacles in Elasticity with Applications to Inverse Problems
- On a local geometric property of the generalized elastic transmission eigenfunctions and application
- Mikusiński's operational calculus with algebraic foundations and applications to Bessel functions
- Surface-Localized Transmission Eigenstates, Super-resolution Imaging, and Pseudo Surface Plasmon Modes
- Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications
- Surface concentration of transmission eigenfunctions
- Boundary localization of transmission eigenfunctions in spherically stratified media
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