{"title":"关于适用于数值目的的\\（\\mathbb｛R｝^｛n｝\\）中参数化曲线的弹性流","authors":"Paola Pozzi","doi":"10.1007/s10231-023-01329-8","DOIUrl":null,"url":null,"abstract":"<div><p>In Pozzi and Stinner (ESAIM: M2AN 57:445–466, 2023) a variant of the classical elastic flow for closed curves in <span>\\(\\mathbb {R}^{n}\\)</span> was introduced, that is more suitable for numerical purposes. Here we investigate the long-time properties of such evolution demonstrating that the flow exists globally in time.</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2023-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-023-01329-8.pdf","citationCount":"1","resultStr":"{\"title\":\"On an elastic flow for parametrized curves in \\\\(\\\\mathbb {R}^{n}\\\\) suitable for numerical purposes\",\"authors\":\"Paola Pozzi\",\"doi\":\"10.1007/s10231-023-01329-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In Pozzi and Stinner (ESAIM: M2AN 57:445–466, 2023) a variant of the classical elastic flow for closed curves in <span>\\\\(\\\\mathbb {R}^{n}\\\\)</span> was introduced, that is more suitable for numerical purposes. Here we investigate the long-time properties of such evolution demonstrating that the flow exists globally in time.</p></div>\",\"PeriodicalId\":8265,\"journal\":{\"name\":\"Annali di Matematica Pura ed Applicata\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-04-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s10231-023-01329-8.pdf\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali di Matematica Pura ed Applicata\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10231-023-01329-8\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali di Matematica Pura ed Applicata","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10231-023-01329-8","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
On an elastic flow for parametrized curves in \(\mathbb {R}^{n}\) suitable for numerical purposes
In Pozzi and Stinner (ESAIM: M2AN 57:445–466, 2023) a variant of the classical elastic flow for closed curves in \(\mathbb {R}^{n}\) was introduced, that is more suitable for numerical purposes. Here we investigate the long-time properties of such evolution demonstrating that the flow exists globally in time.
期刊介绍：
This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it).
A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.
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