On a coupled-physics transmission eigenvalue problem and its spectral properties with applications
Analysis of PDEs
2024-10-16 v1
Abstract
In this paper, we investigate a transmission eigenvalue problem that couples the principles of acoustics and elasticity. This problem naturally arises when studying fluid-solid interactions and constructing bubbly-elastic structures to create metamaterials. We uncover intriguing local geometric structures of the transmission eigenfunctions near the corners of the domains, under typical regularity conditions. As applications, we present novel unique identifiability and visibility results for an inverse problem associated with an acoustoelastic system, which hold practical significance.
Keywords
Cite
@article{arxiv.2410.11167,
title = {On a coupled-physics transmission eigenvalue problem and its spectral properties with applications},
author = {Huaian Diao and Hongyu Liu and Qingle Meng and Li Wang},
journal= {arXiv preprint arXiv:2410.11167},
year = {2024}
}