Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1]
We introduce the mean curvature flow of curves in the Minkowski plane ℝ[superscript 1,1] and give a classification of all the self-similar solutions. In addition, we describe five other exact solutions to the flow.
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| Format: | Article |
| Language: | en_US |
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Walter de Gruyter
2017
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| Online Access: | http://hdl.handle.net/1721.1/109063 |
| _version_ | 1826213303430414336 |
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| author | Halldorsson, Hoeskuldur Petur |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Halldorsson, Hoeskuldur Petur |
| author_sort | Halldorsson, Hoeskuldur Petur |
| collection | MIT |
| description | We introduce the mean curvature flow of curves in the Minkowski plane ℝ[superscript 1,1] and give a classification of all the self-similar solutions. In addition, we describe five other exact solutions to the flow. |
| first_indexed | 2024-09-23T15:46:56Z |
| format | Article |
| id | mit-1721.1/109063 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:46:56Z |
| publishDate | 2017 |
| publisher | Walter de Gruyter |
| record_format | dspace |
| spelling | mit-1721.1/1090632022-10-02T04:03:01Z Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1] Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ1,1 Halldorsson, Hoeskuldur Petur Massachusetts Institute of Technology. Department of Mathematics Halldorsson, Hoeskuldur Petur We introduce the mean curvature flow of curves in the Minkowski plane ℝ[superscript 1,1] and give a classification of all the self-similar solutions. In addition, we describe five other exact solutions to the flow. 2017-05-12T21:37:07Z 2017-05-12T21:37:07Z 2013-07 2013-01 Article http://purl.org/eprint/type/JournalArticle 0075-4102 1435-5345 http://hdl.handle.net/1721.1/109063 Halldorsson, Hoeskuldur P. “Self-Similar Solutions to the Mean Curvature Flow in the Minkowski Plane ℝ1,1.” Journal Für Die Reine Und Angewandte Mathematik (Crelles Journal) 2015, no. 704 (January 1, 2015). © 2015 De Gruyter en_US http://dx.doi.org/10.1515/crelle-2013-0054 Journal für die reine und angewandte Mathematik (Crelles Journal) Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Walter de Gruyter Walter de Gruyter |
| spellingShingle | Halldorsson, Hoeskuldur Petur Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1] |
| title | Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1] |
| title_full | Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1] |
| title_fullStr | Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1] |
| title_full_unstemmed | Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1] |
| title_short | Self-similar solutions to the mean curvature flow in the Minkowski plane ℝ[superscript 1,1] |
| title_sort | self similar solutions to the mean curvature flow in the minkowski plane r superscript 1 1 |
| url | http://hdl.handle.net/1721.1/109063 |
| work_keys_str_mv | AT halldorssonhoeskuldurpetur selfsimilarsolutionstothemeancurvatureflowintheminkowskiplanersuperscript11 AT halldorssonhoeskuldurpetur selfsimilarsolutionstothemeancurvatureflowintheminkowskiplaner11 |