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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 3, Pages 41–50 (Mi pmtf2497)  
This article is cited in 2 scientific papers (total in 2 papers)

Characteristic properties and exact solutions of the kinetic equation of bubbly liquid

A. A. Chesnokov

Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Full-text PDF (273 kB) Citations (2)
Abstract: The paper considers a kinetic model for the motion of incompressible bubbles in an ideal liquid that takes into account their collective interaction in the case of one spatial variable. Generalized characteristics and a characteristic form of the equations are found. Necessary and sufficient hyperbolicity conditions of the integrodifferential model of rarefied bubbly flow are formulated. Exact solutions of the kinetic equation for the class of traveling waves are derived. A solution of the linearized equation is obtained.
Keywords: bubbly liquid, kinetic equations, hyperbolicity.
Received: 30.09.2002
Accepted: 25.11.2002
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 3, Pages 336–343
DOI: https://doi.org/10.1023/A:1023477022213
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Chesnokov, “Characteristic properties and exact solutions of the kinetic equation of bubbly liquid”, Prikl. Mekh. Tekh. Fiz., 44:3 (2003), 41–50; J. Appl. Mech. Tech. Phys., 44:3 (2003), 336–343
Citation in format AMSBIB
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\by A.~A.~Chesnokov
\paper Characteristic properties and exact solutions of the kinetic equation of bubbly liquid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 3
\pages 41--50
\mathnet{http://mi.mathnet.ru/pmtf2497}
\elib{https://elibrary.ru/item.asp?id=17274789}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 3
\pages 336--343
\crossref{https://doi.org/10.1023/A:1023477022213}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2497
  • https://www.mathnet.ru/eng/pmtf/v44/i3/p41
    • This publication is cited in the following 2 articles:
    1. Patrick O'Rourke, Scott Ramsey, Brian Temple, “Lie Group Analysis of the Integral Equations Related to Neutron Slowing-Down Theory”, Nuclear Science and Engineering, 196:7 (2022), 792  crossref
    2. Yurii N. Grigoriev, Nail H. Ibragimov, Vladimir F. Kovalev, Sergey V. Meleshko, Lecture Notes in Physics, 806, Symmetries of Integro-Differential Equations, 2010, 57  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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