On an elastic flow for parametrized curves in \(\mathbb {R}^{n}\) suitable for numerical purposes

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-04-03 DOI:10.1007/s10231-023-01329-8

Paola Pozzi

引用次数: 1

Abstract

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.

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关于适用于数值目的的\（\mathbb｛R｝^｛n｝\）中参数化曲线的弹性流

在Pozzi和Stinner（ESAIM:M2AN 57:445–4662023）中，引入了\（\mathbb｛R｝^｛n｝\）中闭合曲线的经典弹性流的一种变体，该变体更适合于数值目的。在这里，我们研究了这种进化的长期性质，证明了流动在时间上是全局存在的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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.