Hydon, Peter E. and Mansfield, Elizabeth L.
(2011)
*
Extensions of Noether's Second Theorem: from continuous to discrete systems.
*
Proceedings of the Royal Society A- Mathematical Physical and Engineering Sciences,
467
(2135).
pp. 3206-3221.
ISSN 1364-5021 .
(doi:10.1098/rspa.2011.0158 )
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Official URL http://dx.doi.org/10.1098/rspa.2011.0158 |

## Abstract

A simple local proof of Noether's Second Theorem is given. This proof immediately leads to a generalization of the theorem, yielding conservation laws and/or explicit relationships between the Euler–Lagrange equations of any variational problem whose symmetries depend on a set of free or partly constrained functions. Our approach extends further to deal with finite-difference systems. The results are easy to apply; several well-known continuous and discrete systems are used as illustrations.

Item Type: | Article |
---|---|

Subjects: | Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis Q Science > QA Mathematics (inc Computing science) > QA252 Lie algebras Q Science > QA Mathematics (inc Computing science) > QA252 Lie algebras |

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics |

Depositing User: | Elizabeth L Mansfield |

Date Deposited: | 23 Jun 2011 16:18 |

Last Modified: | 15 Jan 2016 15:35 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/27986 (The current URI for this page, for reference purposes) |

ORCiD (Hydon, Peter E.): | http://orcid.org/0000-0002-3732-4813 |

ORCiD (Mansfield, Elizabeth L.): | http://orcid.org/0000-0002-6778-2241 |

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