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Teoreticheskaya i Matematicheskaya Fizika, 1995, Volume 102, Number 2, Pages 283–296 (Mi tmf1266)  
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
Full-text PDF (1413 kB) Citations (3)
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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, Volume 102, Issue 2, Pages 208–218
DOI: https://doi.org/10.1007/BF01040401
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\by A.~A.~Isaev, M.~Yu.~Kovalevsky, S.~V.~Peletminskii
\paper On hamiltonian approach to dynamics of continuum
\jour TMF
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\vol 102
\issue 2
\pages 283--296
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\zmath{https://zbmath.org/?q=an:0854.58018}
\transl
\jour Theoret. and Math. Phys.
\yr 1995
\vol 102
\issue 2
\pages 208--218
\crossref{https://doi.org/10.1007/BF01040401}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RQ88800010}
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  • https://www.mathnet.ru/eng/tmf1266
  • https://www.mathnet.ru/eng/tmf/v102/i2/p283
    • This publication is cited in the following 3 articles:
    1. Yu. P. Virchenko, A. E. Novoseltseva, “Giperbolichnost klassa kvazilineinykh kovariantnykh uravnenii pervogo poryadka divergentnogo tipa”, Materialy Voronezhskoi mezhdunarodnoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy», Voronezh, 28 yanvarya – 2 fevralya 2021 g. Chast 2, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 207, VINITI RAN, M., 2022, 16–26  mathnet  crossref
    2. Yu. P. Virchenko, A. E. Novoseltseva, “Giperbolicheskie kovariantnye evolyutsionnye uravneniya pervogo poryadka dlya vektornogo polya v R3”, Algebra, geometriya, differentsialnye uravneniya, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 217, VINITI RAN, M., 2022, 20–28  mathnet  crossref
    3. Darryl D. Holm, Geometry, Mechanics, and Dynamics, 2002, 169  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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