Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 4, November 2003, Pages 539 - 554

A Variational Principle for Volume-Preserving Dynamics

Authors
Giuseppe Gaeta, Paola Morando
Corresponding Author
Giuseppe Gaeta
Received 8 February 2003, Accepted 26 March 2003, Available Online 1 November 2003.
DOI
10.2991/jnmp.2003.10.4.7How to use a DOI?
Abstract

We provide a variational description of any Liouville, i.e. volume preserving, autnomous vector field on a smooth manifold. This is obtained via a "maximal degree" variational principle; critical sections for this are integral manifolds for the Liouville vector field. We work in coordinates and provide explicit formulae.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 4
Pages
539 - 554
Publication Date
2003/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.4.7How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Giuseppe Gaeta
AU  - Paola Morando
PY  - 2003
DA  - 2003/11/01
TI  - A Variational Principle for Volume-Preserving Dynamics
JO  - Journal of Nonlinear Mathematical Physics
SP  - 539
EP  - 554
VL  - 10
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.4.7
DO  - 10.2991/jnmp.2003.10.4.7
ID  - Gaeta2003
ER  -