We provide a variational description of any Liouville, i.e. volume preserving, autonomous 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.

A variational principle for volume-preserving dynamics / G. Gaeta, P. Morando. - In: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. - ISSN 1402-9251. - 10:4(2003), pp. 539-554. [10.2991/jnmp.2003.10.4.7]

A variational principle for volume-preserving dynamics

G. Gaeta
Primo
;
P. Morando
Ultimo
2003

Abstract

We provide a variational description of any Liouville, i.e. volume preserving, autonomous 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/68844
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