On an area-preserving inverse curvature flow for plane curves
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866918107644166144 |
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| author | Sun, Zezhen Wu, Yuting |
| author_facet | Sun, Zezhen Wu, Yuting |
| contents | In this paper, we study a $1/κ^{n}$-type area-preserving non-local flow of convex closed plane curves for any $n>0$. We show that the flow exists globally, the length of evolving curve is
non-increasing, and the limiting curve will be a circle in the $C^{\infty}$ metric as time $t\to\infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22366 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On an area-preserving inverse curvature flow for plane curves Sun, Zezhen Wu, Yuting Differential Geometry 53E99, 35B40, 35K55, In this paper, we study a $1/κ^{n}$-type area-preserving non-local flow of convex closed plane curves for any $n>0$. We show that the flow exists globally, the length of evolving curve is non-increasing, and the limiting curve will be a circle in the $C^{\infty}$ metric as time $t\to\infty$. |
| title | On an area-preserving inverse curvature flow for plane curves |
| topic | Differential Geometry 53E99, 35B40, 35K55, |
| url | https://arxiv.org/abs/2507.22366 |