Horizontal and Vertical Regularity of Elastic Wave Geometry
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915628684673024 |
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| author | Ilmavirta, Joonas Kirkkopelto, Pieti Kykkänen, Antti |
| author_facet | Ilmavirta, Joonas Kirkkopelto, Pieti Kykkänen, Antti |
| contents | The elastic properties of a material are encoded in a stiffness tensor field and the propagation of elastic waves is modeled by the elastic wave equation. We characterize analytic and algebraic properties a general anisotropic stiffness tensor field has to satisfy in order for Finsler-geometric methods to be applicable in studying inverse problems related to imaging with elastic waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16466 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Horizontal and Vertical Regularity of Elastic Wave Geometry Ilmavirta, Joonas Kirkkopelto, Pieti Kykkänen, Antti Differential Geometry Algebraic Geometry Analysis of PDEs 74B05, 58J60, 86A22, 14J81 The elastic properties of a material are encoded in a stiffness tensor field and the propagation of elastic waves is modeled by the elastic wave equation. We characterize analytic and algebraic properties a general anisotropic stiffness tensor field has to satisfy in order for Finsler-geometric methods to be applicable in studying inverse problems related to imaging with elastic waves. |
| title | Horizontal and Vertical Regularity of Elastic Wave Geometry |
| topic | Differential Geometry Algebraic Geometry Analysis of PDEs 74B05, 58J60, 86A22, 14J81 |
| url | https://arxiv.org/abs/2511.16466 |