Moving Frames and Conservation Laws for Euclidean Invariant Lagrangians

Goncalves, T.M.N., Mansfield, Elizabeth L. (2013) Moving Frames and Conservation Laws for Euclidean Invariant Lagrangians. Studies in Applied Mathematics, 130 (2). pp. 134-166. ISSN 1467-9590. (doi:10.1111/j.1467-9590.2012.00566.x) (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:31674)

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/10.1111/j.1467-9590.2012.00566.x

Abstract

In recent work, the authors show the mathematical structure behind both the Euler–Lagrange system and the set of conservation laws, in terms of the differential invariants of the group action and a moving frame. In this paper, the authors demonstrate that the knowledge of this structure allows to find the first integrals of the Euler–Lagrange equations, and subsequently, to solve by quadratures, variational problems that are invariant under the special Euclidean groups SE(2) and SE(3).

Item Type:	Article
DOI/Identification number:	10.1111/j.1467-9590.2012.00566.x
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Elizabeth Mansfield
Date Deposited:	15 Oct 2012 08:45 UTC
Last Modified:	05 Nov 2024 10:14 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/31674 (The current URI for this page, for reference purposes)

University of Kent Author Information

Goncalves, T.M.N..

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CReDIT Contributor Roles:

Mansfield, Elizabeth L..

Creator's ORCID:	https://orcid.org/0000-0002-6778-2241
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