Geodesic
On hamiltonian approach to dynamics of continuum
Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 2, pp. 283-296

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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. 
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     author = {A. A. Isaev and M. Yu. Kovalevsky and S. V. Peletminskii},
     title = {On hamiltonian approach to dynamics of continuum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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A. A. Isaev; M. Yu. Kovalevsky; S. V. Peletminskii. On hamiltonian approach to dynamics of continuum. Teoretičeskaâ i matematičeskaâ fizika, Tome 102 (1995) no. 2, pp. 283-296. http://geodesic.mathdoc.fr/item/TMF_1995_102_2_a9/