Inverse problem for the geometric Navier-Stokes equations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912890746830848 |
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| author | Kian, Yavar Oksanen, Lauri Zhao, Ziyao |
| author_facet | Kian, Yavar Oksanen, Lauri Zhao, Ziyao |
| contents | We consider the inverse problem of determining a compact Riemannian manifold with boundary from fixed time observations of the solution, restricted to a small subset in space, for the Navier-Stokes system with a local source on the manifold. Our approach is based on a reduction to an inverse problem for an auxiliary hyperbolic Stokes system, via linearization and spectral techniques. We solve the resulting inverse problem by a new generalization of the Boundary Control method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08644 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Inverse problem for the geometric Navier-Stokes equations Kian, Yavar Oksanen, Lauri Zhao, Ziyao Analysis of PDEs 35R30, 35Q30, 35R01, 76D05 We consider the inverse problem of determining a compact Riemannian manifold with boundary from fixed time observations of the solution, restricted to a small subset in space, for the Navier-Stokes system with a local source on the manifold. Our approach is based on a reduction to an inverse problem for an auxiliary hyperbolic Stokes system, via linearization and spectral techniques. We solve the resulting inverse problem by a new generalization of the Boundary Control method. |
| title | Inverse problem for the geometric Navier-Stokes equations |
| topic | Analysis of PDEs 35R30, 35Q30, 35R01, 76D05 |
| url | https://arxiv.org/abs/2602.08644 |