An Extension of Hamilton's Principle to Include Dissipative Systems

R. M. Kiehn "An Extension of Hamilton's Principle to Include Dissipative Systems" J. Math Phys Vol 15 no 1 (1974) p.9

Abstract: The key idea of conservative Hamiltionian 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 invaraint 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.

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