Motion by crystalline-like mean curvature: A survey
We consider a class of anisotropic curvature flows called crystalline curvature flows. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2022-08-01
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| Series: | Bulletin of Mathematical Sciences |
| Subjects: | |
| Online Access: | https://www.worldscientific.com/doi/10.1142/S1664360722300043 |
| _version_ | 1811343103524601856 |
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| author | Yoshikazu Giga Norbert Požár |
| author_facet | Yoshikazu Giga Norbert Požár |
| author_sort | Yoshikazu Giga |
| collection | DOAJ |
| description | We consider a class of anisotropic curvature flows called crystalline curvature flows. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem. |
| first_indexed | 2024-04-13T19:22:40Z |
| format | Article |
| id | doaj.art-aaf1062433d54c43bd4518d1e0c1e60a |
| institution | Directory Open Access Journal |
| issn | 1664-3607 1664-3615 |
| language | English |
| last_indexed | 2024-04-13T19:22:40Z |
| publishDate | 2022-08-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | Bulletin of Mathematical Sciences |
| spelling | doaj.art-aaf1062433d54c43bd4518d1e0c1e60a2022-12-22T02:33:28ZengWorld Scientific PublishingBulletin of Mathematical Sciences1664-36071664-36152022-08-01120210.1142/S1664360722300043Motion by crystalline-like mean curvature: A surveyYoshikazu Giga0Norbert Požár1Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, JapanFaculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University, Kakuma, Kanazawa, 920-1192, JapanWe consider a class of anisotropic curvature flows called crystalline curvature flows. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem.https://www.worldscientific.com/doi/10.1142/S1664360722300043Crystalline mean curvaturecomparison principletotal variation |
| spellingShingle | Yoshikazu Giga Norbert Požár Motion by crystalline-like mean curvature: A survey Bulletin of Mathematical Sciences Crystalline mean curvature comparison principle total variation |
| title | Motion by crystalline-like mean curvature: A survey |
| title_full | Motion by crystalline-like mean curvature: A survey |
| title_fullStr | Motion by crystalline-like mean curvature: A survey |
| title_full_unstemmed | Motion by crystalline-like mean curvature: A survey |
| title_short | Motion by crystalline-like mean curvature: A survey |
| title_sort | motion by crystalline like mean curvature a survey |
| topic | Crystalline mean curvature comparison principle total variation |
| url | https://www.worldscientific.com/doi/10.1142/S1664360722300043 |
| work_keys_str_mv | AT yoshikazugiga motionbycrystallinelikemeancurvatureasurvey AT norbertpozar motionbycrystallinelikemeancurvatureasurvey |