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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2305.11100 |
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| _version_ | 1866909618883526656 |
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| author | De Gennaro, Daniele Diana, Antonia Kubin, Andrea Kubin, Anna |
| author_facet | De Gennaro, Daniele Diana, Antonia Kubin, Andrea Kubin, Anna |
| contents | We prove that, in the flat torus and in any dimension, the volume-preserving mean curvature flow and the surface diffusion flow, starting $C^{1,1}-$close to a strictly stable critical set of the perimeter $E$, exist for all times and converge to a translate of $E$ exponentially fast as time goes to infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11100 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus De Gennaro, Daniele Diana, Antonia Kubin, Andrea Kubin, Anna Differential Geometry We prove that, in the flat torus and in any dimension, the volume-preserving mean curvature flow and the surface diffusion flow, starting $C^{1,1}-$close to a strictly stable critical set of the perimeter $E$, exist for all times and converge to a translate of $E$ exponentially fast as time goes to infinity. |
| title | Stability of the surface diffusion flow and volume-preserving mean curvature flow in the flat torus |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2305.11100 |