Close-To-Touching Acoustic Subwavelength Resonators: Eigenfrequency Separation and Gradient Blow-Up
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Publication:5150068
DOI10.1137/20M1313350zbMath1459.35091arXiv2001.04888MaRDI QIDQ5150068
Sanghyeon Yu, Bryn Davies, Habib Ammari
Publication date: 9 February 2021
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.04888
Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items (8)
Exceptional Points in Parity--Time-Symmetric Subwavelength Metamaterials ⋮ Anisotropic conductivity problem with both perfect and insulated inclusions ⋮ Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies ⋮ Optimal estimates for transmission problems including relative conductivities with different signs ⋮ The Interaction Between Two Close-To-Touching Convex Acoustic Subwavelength Resonators ⋮ Gradient estimates of solutions to the insulated conductivity problem in dimension greater than two ⋮ Scattering resonances for a three-dimensional subwavelength hole ⋮ Wave interaction with subwavelength resonators
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