Spectral asymptotics for linear elasticity: the case of mixed boundary conditions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866918392228741120 |
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| author | Capoferri, Matteo Mann, Isabel |
| author_facet | Capoferri, Matteo Mann, Isabel |
| contents | We establish two-term spectral asymptotics for the operator of linear elasticity with mixed boundary conditions on a smooth compact Riemannian manifold of arbitrary dimension. We illustrate our results by explicit examples in dimension two and three, thus verifying our general formulae both analytically and numerically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18652 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spectral asymptotics for linear elasticity: the case of mixed boundary conditions Capoferri, Matteo Mann, Isabel Spectral Theory Mathematical Physics Analysis of PDEs Differential Geometry 35P20 (primary) 35Q74, 74J05 (secondary) We establish two-term spectral asymptotics for the operator of linear elasticity with mixed boundary conditions on a smooth compact Riemannian manifold of arbitrary dimension. We illustrate our results by explicit examples in dimension two and three, thus verifying our general formulae both analytically and numerically. |
| title | Spectral asymptotics for linear elasticity: the case of mixed boundary conditions |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs Differential Geometry 35P20 (primary) 35Q74, 74J05 (secondary) |
| url | https://arxiv.org/abs/2311.18652 |