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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2511.10579 |
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| _version_ | 1866908650700800000 |
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| author | Chan, Chi Hin Czubak, Magdalena Aguilera, Padi Fuster |
| author_facet | Chan, Chi Hin Czubak, Magdalena Aguilera, Padi Fuster |
| contents | In this paper we derive four new candidates for an intrinsic viscosity operator on an ellipsoid by using the heuristic of the thin shell limit along the scaling direction of the ellipsoid. We show that the general method of the thin shell limit through the asymptotic expansion depends on the averaging method used. We consider both the homogeneous Navier and Hodge boundary conditions. We also obtain a geometric representation of these two boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10579 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thin shell limit and the derivation of the viscosity operator on the ellipsoid Chan, Chi Hin Czubak, Magdalena Aguilera, Padi Fuster Analysis of PDEs In this paper we derive four new candidates for an intrinsic viscosity operator on an ellipsoid by using the heuristic of the thin shell limit along the scaling direction of the ellipsoid. We show that the general method of the thin shell limit through the asymptotic expansion depends on the averaging method used. We consider both the homogeneous Navier and Hodge boundary conditions. We also obtain a geometric representation of these two boundary conditions. |
| title | Thin shell limit and the derivation of the viscosity operator on the ellipsoid |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2511.10579 |