The Willmore flow with prescribed isoperimetric ratio

IF 2.1 2区数学 Q1 MATHEMATICS

Communications in Partial Differential Equations Pub Date : 2024-01-17 DOI:10.1080/03605302.2024.2302377

Fabian Rupp

引用次数: 0

Abstract

We introduce a non-local L2-gradient flow for the Willmore energy of immersed surfaces which preserves the isoperimetric ratio. For spherical initial data with energy below an explicit threshold, w...

查看原文本刊更多论文

规定等压比的威尔莫尔流量

我们为浸没表面的威尔莫尔能量引入了一种非局部 L2 梯度流，它保留了等周比。对于能量低于一个明确阈值的球形初始数据，我们可以利用...

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Communications in Partial Differential Equations 数学-数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.