An extension of Hamilton's principle to include dissipative systems
- 1 January 1974
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 15 (1) , 9-13
- https://doi.org/10.1063/1.1666514
Abstract
The key idea of conservative Hamiltonian systems is the fact that the closed line integral of action is an absolute invariant of the motion. Dissipation effects may be included by considering those systems for which the closed integral of action is a parameter‐dependent, conformal invariant of the motion. An application of this idea to hydrodynamics is made, and the conditions required for the validity of the Liouville theorem with respect to conformal Hamiltonian flows are examined.Keywords
This publication has 1 reference indexed in Scilit:
- Espaces variationnels et mécaniqueAnnales de l'institut Fourier, 1962