Hyperbolic curve flows in the plane
Abstract In this paper, we investigate the evolution of a strictly convex closed planar curve driven by a hyperbolic normal flow. The asymptotical behavior of the evolving curves has also been shown if the velocity of the initial curve is nonnegative.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-02-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2005-y |
| _version_ | 1818110647827693568 |
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| author | Zhe Zhou Chuan-Xi Wu Jing Mao |
| author_facet | Zhe Zhou Chuan-Xi Wu Jing Mao |
| author_sort | Zhe Zhou |
| collection | DOAJ |
| description | Abstract In this paper, we investigate the evolution of a strictly convex closed planar curve driven by a hyperbolic normal flow. The asymptotical behavior of the evolving curves has also been shown if the velocity of the initial curve is nonnegative. |
| first_indexed | 2024-12-11T02:50:29Z |
| format | Article |
| id | doaj.art-c7bb4cdcc29a4331a9d14652e19bc5e1 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T02:50:29Z |
| publishDate | 2019-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c7bb4cdcc29a4331a9d14652e19bc5e12022-12-22T01:23:19ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-02-012019111710.1186/s13660-019-2005-yHyperbolic curve flows in the planeZhe Zhou0Chuan-Xi Wu1Jing Mao2Faculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei UniversityFaculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei UniversityFaculty of Mathematics and Statistics, Key Laboratory of Applied Mathematics of Hubei Province, Hubei UniversityAbstract In this paper, we investigate the evolution of a strictly convex closed planar curve driven by a hyperbolic normal flow. The asymptotical behavior of the evolving curves has also been shown if the velocity of the initial curve is nonnegative.http://link.springer.com/article/10.1186/s13660-019-2005-yHyperbolic partial differential equationsCurve flowsShort-time existenceConvergence |
| spellingShingle | Zhe Zhou Chuan-Xi Wu Jing Mao Hyperbolic curve flows in the plane Journal of Inequalities and Applications Hyperbolic partial differential equations Curve flows Short-time existence Convergence |
| title | Hyperbolic curve flows in the plane |
| title_full | Hyperbolic curve flows in the plane |
| title_fullStr | Hyperbolic curve flows in the plane |
| title_full_unstemmed | Hyperbolic curve flows in the plane |
| title_short | Hyperbolic curve flows in the plane |
| title_sort | hyperbolic curve flows in the plane |
| topic | Hyperbolic partial differential equations Curve flows Short-time existence Convergence |
| url | http://link.springer.com/article/10.1186/s13660-019-2005-y |
| work_keys_str_mv | AT zhezhou hyperboliccurveflowsintheplane AT chuanxiwu hyperboliccurveflowsintheplane AT jingmao hyperboliccurveflowsintheplane |