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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 102, Number 2, Pages 283–296
(Mi tmf1266)
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This article is cited in 3 scientific papers (total 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
Citation:
A. A. Isaev, M. Yu. Kovalevsky, S. V. Peletminskii, “On hamiltonian approach to dynamics of continuum”, TMF, 102:2 (1995), 283–296; Theoret. and Math. Phys., 102:2 (1995), 208–218
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https://www.mathnet.ru/eng/tmf1266 https://www.mathnet.ru/eng/tmf/v102/i2/p283
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Abstract page: | 392 | Full-text PDF : | 152 | References: | 66 | First page: | 2 |
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