This article is cited in 3 papers

On hamiltonian approach to dynamics of continuum

A. A. Isaev, M. Yu. Kovalevsky, S. V. Peletminskii

National Science Centre Kharkov Institute of Physics and Technology

Abstract: A question about obtaining the algebra of Poisson brackets for dynamic variables of continuum by setting the kinematic part of Lagrangian in terms of generalized coordinates and momenta is considered. Subalgebras corresponding to description of elastic medium, hydrodynamics of ordinary liquids and dynamics of some liquid crystal phases stand out from this algebra. Differential conservation laws connected with hamiltonian symmetries are studied. Dynamics of nematics is examined and peculiarities of chiral, smectic and discotic dynamics are shown.

Received: 14.10.1993
Revised: 04.10.1994

 English version: Theoretical and Mathematical Physics, 1995, 102:2, 208–218

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