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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2012.11549 |
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| _version_ | 1866908294451298304 |
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| author | Gao, Laiyuan Pan, Shengliang |
| author_facet | Gao, Laiyuan Pan, Shengliang |
| contents | This paper deals with a generalized length-preserving flow for convex curves in the plane. It is shown that the flow exists globally and deforms convex curves into circles as time tends to infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_11549 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Evolving convex curves by a generalized length-preserving flow Gao, Laiyuan Pan, Shengliang Differential Geometry Analysis of PDEs 53A04, 53E10, 35K15, 35K59 This paper deals with a generalized length-preserving flow for convex curves in the plane. It is shown that the flow exists globally and deforms convex curves into circles as time tends to infinity. |
| title | Evolving convex curves by a generalized length-preserving flow |
| topic | Differential Geometry Analysis of PDEs 53A04, 53E10, 35K15, 35K59 |
| url | https://arxiv.org/abs/2012.11549 |