On the restriction of various Laplace operators on submanifolds
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914802528419840 |
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| author | Tuomela, Jukka |
| author_facet | Tuomela, Jukka |
| contents | When considering Navier-Stokes equations on Riemannian manifolds one frequently encounters situations where the manifold is embedded in the ambient Euclidean space. In this context it is interesting to investigate what is the precise relationship of the diffusion operator in the ambient space to the diffusion operator on the manifold. The present paper gives a precise characterization of this situation for general surfaces in three dimensional space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_11562 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the restriction of various Laplace operators on submanifolds Tuomela, Jukka Analysis of PDEs When considering Navier-Stokes equations on Riemannian manifolds one frequently encounters situations where the manifold is embedded in the ambient Euclidean space. In this context it is interesting to investigate what is the precise relationship of the diffusion operator in the ambient space to the diffusion operator on the manifold. The present paper gives a precise characterization of this situation for general surfaces in three dimensional space. |
| title | On the restriction of various Laplace operators on submanifolds |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.11562 |