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规定等压比的威尔莫尔流量

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
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引用次数: 0

摘要

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...
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The Willmore flow with prescribed isoperimetric ratio
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...
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来源期刊
Communications in Partial Differential Equations
Communications in Partial Differential Equations 数学-数学
CiteScore
3.60
自引率
0.00%
发文量
43
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.
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