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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 1999, Volume 40, Issue 2, Pages 86–100 (Mi pmtf3058)  
This article is cited in 8 scientific papers (total in 8 papers)

Characteristics, conservation laws, and symmetries of the kinetic equations of motion of bubbes in a fluid

V. M. Teshukov

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Full-text PDF (1151 kB) Citations (8)
Abstract: Generalized characteristics and Riemann invariants that are preserved along the characteristics are found for a kinetic model of motion of bubbles in a fluid. Conditions that ensure the hyperbolicity of a set of equations of a bubbly flow are obtained. It is shown that the set of equations of motion has an infinite number of conservation laws. An infinite series of generalized symmetries admitted by the equations is constructed. Solutions that are invariant under the generalized symmetries of solution and describe the propagation of running and simple waves in a bubbly fluid are found.
Received: 21.08.1998
English version:
Journal of Applied Mechanics and Technical Physics, 1999, Volume 40, Issue 2, Pages 263–275
DOI: https://doi.org/10.1007/BF02468523
Bibliographic databases:
Document Type: Article
UDC: 517.958+532.529.5
Language: Russian
Citation: V. M. Teshukov, “Characteristics, conservation laws, and symmetries of the kinetic equations of motion of bubbes in a fluid”, Prikl. Mekh. Tekh. Fiz., 40:2 (1999), 86–100; J. Appl. Mech. Tech. Phys., 40:2 (1999), 263–275
Citation in format AMSBIB
\Bibitem{Tes99}
\by V.~M.~Teshukov
\paper Characteristics, conservation laws, and symmetries of the kinetic equations of motion of bubbes in a fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 2
\pages 86--100
\mathnet{http://mi.mathnet.ru/pmtf3058}
\elib{https://elibrary.ru/item.asp?id=35309407 }
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 2
\pages 263--275
\crossref{https://doi.org/10.1007/BF02468523}
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  • https://www.mathnet.ru/eng/pmtf/v40/i2/p86
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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