Hydon, Peter E., 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) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:27986)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1098/rspa.2011.0158 |
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| Additional URLs: |
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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 |
|---|---|
| DOI/Identification number: | 10.1098/rspa.2011.0158 |
| 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 |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Elizabeth Mansfield |
| Date Deposited: | 23 Jun 2011 16:18 UTC |
| Last Modified: | 20 May 2025 11:34 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/27986 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Hydon, Peter E..
| Creator's ORCID: |
 https://orcid.org/0000-0002-3732-4813
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| CReDIT Contributor Roles: |
Mansfield, Elizabeth L..
| Creator's ORCID: |
https://orcid.org/0000-0002-6778-2241
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| CReDIT Contributor Roles: |
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