Noether’s theorem and the Willmore functional-Reference-Cited by-同舟云学术

Noether’s theorem and the Willmore functional

Published:2016-07-01 Issue:3 Volume:9 Page:217-234
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
language:
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Author:

Bernard Yann¹

Affiliation:

1. 1Departement Mathematik, ETH-Zentrum, 8093 Zürich, Switzerland

Abstract

AbstractNoether’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. Rivière. Several examples are considered in detail.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2014-0033/pdf

Reference132 articles.

1. Gravitational radiation in an expanding universe;J. Math. Phys.,1968

2. Configurations of fluid membranes and vesicles;Adv. Phys.,1997

3. Constrained Willmore surfaces;Calc. Var. Partial Differential Equations,2008

4. 26th letter to Euler;Correspondance mathématique et physique de quelques célèbres géomètres du XVIIIème siècle, vol. 2,1968

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