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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2005, Volume 46, Issue 2, Pages 33–43 (Mi pmtf2242)  
This article is cited in 1 scientific paper (total in 1 paper)

Special class of solutions of the kinetic equation of a bubbly fluid

G. Russoa, V. M. Teshukovb, A. A. Chesnokovb

a University of Catania, 95125, Catania, Italy
b Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk
Full-text PDF (275 kB) Citations (1)
Abstract: A new class of solutions is constructed for the kinetic model of bubble motion in a perfect fluid proposed by Russo and Smereka. These solutions are characterized by a linear relationship between the Riemann integral invariants. Using the expressions following from this relationship, the construction of solutions in the special class is reduced to the integration of a hyperbolic system of two differential equations with two independent variables. Exact solutions in the class of simple waves are obtained, and their physical interpretation is given.
Keywords: bubbly fluid, kinetic equation, hyperbolicity, exact solutions.
Received: 25.08.2004
English version:
Journal of Applied Mechanics and Technical Physics, 2005, Volume 46, Issue 2, Pages 176–184
DOI: https://doi.org/10.1007/s10808-005-0028-2
Bibliographic databases:
Document Type: Article
UDC: 532.591+517.948
Language: Russian
Citation: G. Russo, V. M. Teshukov, A. A. Chesnokov, “Special class of solutions of the kinetic equation of a bubbly fluid”, Prikl. Mekh. Tekh. Fiz., 46:2 (2005), 33–43; J. Appl. Mech. Tech. Phys., 46:2 (2005), 176–184
Citation in format AMSBIB
\Bibitem{RusTesChe05}
\by G.~Russo, V.~M.~Teshukov, A.~A.~Chesnokov
\paper Special class of solutions of the kinetic equation of a bubbly fluid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2005
\vol 46
\issue 2
\pages 33--43
\mathnet{http://mi.mathnet.ru/pmtf2242}
\elib{https://elibrary.ru/item.asp?id=15175906}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2005
\vol 46
\issue 2
\pages 176--184
\crossref{https://doi.org/10.1007/s10808-005-0028-2}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2242
  • https://www.mathnet.ru/eng/pmtf/v46/i2/p33
    • This publication is cited in the following 1 articles:
    1. Alexander A. Chesnokov, Maxim V. Pavlov, “The Russo–Smereka kinetic equation: Conservation laws, reductions and numerical solutions”, Physica D: Nonlinear Phenomena, 303 (2015), 50  crossref
    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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