Published November 2011
| Submitted
Journal Article
Open
Lagrange–Poincaré field equations
Abstract
The Lagrange–Poincaré equations of classical mechanics are cast into a field theoretic context together with their associated constrained variational principle. An integrability/reconstruction condition is established that relates solutions of the original problem with those of the reduced problem. The Kelvin–Noether Theorem is formulated in this context. Applications to the isoperimetric problem, the Skyrme model for meson interaction, and molecular strands illustrate various aspects of the theory.
Additional Information
© 2011 Elsevier B.V. Received 5 October 2009; revised 17 May 2011; Accepted 4 June 2011. Available online 25 June 2011. The first and third authors were partially supported by Royal Society of London, Wolfson Award. The second and fourth authors were partially supported by a Swiss NSF grant.Attached Files
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Additional details
- Eprint ID
- 27245
- DOI
- 10.1016/j.geomphys.2011.06.007
- Resolver ID
- CaltechAUTHORS:20111017-102914494
- Royal Society
- Swiss National Science Foundation (SNSF)
- Created
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2011-10-17Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field