Volume 10, Issue 4, November 2003, Pages 539 - 554
A Variational Principle for Volume-Preserving Dynamics
Giuseppe Gaeta, Paola Morando
Received 8 February 2003, Accepted 26 March 2003, Available Online 1 November 2003.
- https://doi.org/10.2991/jnmp.2003.10.4.7How to use a DOI?
- 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.
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Cite this article
TY - JOUR AU - Giuseppe Gaeta AU - Paola Morando PY - 2003 DA - 2003/11 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 - https://doi.org/10.2991/jnmp.2003.10.4.7 ID - Gaeta2003 ER -