Noether’s theorem and the Willmore functional
- Bernard, Yann 1Departement Mathematik, ETH-Zentrum, 8093 Zürich, Switzerland
Published in:
- Advances in Calculus of Variations. - Walter de Gruyter GmbH. - 2016, vol. 9, no. 3, p. 217-234
English
Abstract 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. Rivière. Several examples are considered in detail.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1515/acv-2014-0033
- ISSN 1864-8266
- Persistent URL
- https://sonar.ch/global/documents/95126
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