On a coupled-physics transmission eigenvalue problem and its spectral properties with applications
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866912073240281088 |
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| author | Diao, Huaian Liu, Hongyu Meng, Qingle Wang, Li |
| author_facet | Diao, Huaian Liu, Hongyu Meng, Qingle Wang, Li |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11167 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On a coupled-physics transmission eigenvalue problem and its spectral properties with applications Diao, Huaian Liu, Hongyu Meng, Qingle Wang, Li Analysis of PDEs 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. |
| title | On a coupled-physics transmission eigenvalue problem and its spectral properties with applications |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.11167 |