Minnaert Resonances for Bubbles in Soft Elastic Materials

DOI10.1137/21M1400572zbMath1483.35254arXiv1911.03718OpenAlexW4206143669MaRDI QIDQ5024354

Jun Zou, Hongjie Li, Hongyu Liu

Publication date: 31 January 2022

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.03718

zbMATH Keywords

spectralMinnaert resonancenegative elastic materialsbubbly elastic mediumhybrid Neumann-Poincaré operator

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Hydro- and aero-acoustics (76Q05) Inverse problems for waves in solid mechanics (74J25) Resonance in context of PDEs (35B34) PDEs in connection with mechanics of deformable solids (35Q74) Potential operators (47G40)

Related Items (9)

Modal approximation for time-domain elastic scattering from metamaterial quasiparticles ⋮ Subwavelength Resonances in One-Dimensional High-Contrast Acoustic Media ⋮ Acoustic Cavitation using Resonating MicroBubbles: Analysis in the Time-Domain ⋮ Elastodynamical resonances and cloaking of negative material structures beyond quasistatic approximation ⋮ Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies ⋮ Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications ⋮ Transmission properties of time-dependent one-dimensional metamaterials ⋮ Transmission properties of space‐time modulated metamaterials ⋮ A parallel domain decomposition algorithm for fluid-structure interaction simulations of the left ventricle with patient-specific shape

Cites Work

• Unnamed Item
• Unnamed Item
• Polarization and moment tensors. With applications to inverse problems and effective medium theory
• Inverse acoustic and electromagnetic scattering theory.
• Minnaert resonances for acoustic waves in bubbly media
• On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances
• Spectral properties of Neumann-Poincaré operator and anomalous localized resonance in elasticity beyond quasi-static limit
• On spectral properties of Neuman-Poincaré operator and plasmonic resonances in 3D elastostatics
• On three-dimensional plasmon resonances in elastostatics
• On Anomalous Localized Resonance for the Elastostatic System
• On the vibration problem for an elastic body surrounded by a slightly compressible fluid
• A Mathematical and Numerical Framework for Bubble Meta-Screens
• On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit
• Asymptotic behavior of spectral of Neumann‐Poincaré operator in Helmholtz system
• Sub-wavelength focusing of acoustic waves in bubbly media
• Double-negative acoustic metamaterials
• Mathematical Methods in Elasticity Imaging
• Effective Medium Theory for Acoustic Waves in Bubbly Fluids near Minnaert Resonant Frequency
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

This page was built for publication: Minnaert Resonances for Bubbles in Soft Elastic Materials