Noether's theorem and the Willmore functional

被引：13

作者：

Bernard, Yann ^{[1
]}

机构：

[1] ETH Zentrum, Dept Math, CH-8093 Zurich, Switzerland

来源：

ADVANCES IN CALCULUS OF VARIATIONS | 2016年 / 9卷 / 03期

关键词：

Willmore functional; Noether's theorem; conservation laws; WEAK SOLUTIONS; SURFACES; ENERGY; FLOW; SINGULARITIES; REMOVABILITY; MINIMIZERS; SEQUENCES; SHAPE;

D O I：

10.1515/acv-2014-0033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Noether's theorem and the invariances of the Willmore functional are used to derive conservation laws that are satisfied by the critical points of the Willmore energy subject to generic constraints. We recover in particular previous results independently obtained by R. Capovilla and J. Guven, and by T. Riviere. Several examples are considered in detail.

引用

页码：217 / 234

页数：18

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