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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2000, Volume 41, Issue 4, Pages 21–32 (Mi pmtf2950)  
This article is cited in 4 scientific papers (total in 4 papers)

Exact solutions of the one-dimensional Russo–Smereka kinetic equation

A. A. Chesnokov

Novosibirsk State University, Novosibirsk 630090
Full-text PDF (323 kB) Citations (4)
Abstract: We obtain new classes of invariant solutions of the integrodifferential equations describing the propagation of nonlinear concentration waves in a rarefied bubbly fluid. For all the solutions obtained, trajectories of particle motion in phase space are calculated. The stability of some flows is studied in a linear approximation. In several cases, the construction of solutions reduces to an integrodifferential equation of the second kind, which can be solved by the iteration method.
Received: 25.12.1998
Accepted: 30.09.1999
English version:
Journal of Applied Mechanics and Technical Physics, 2000, Volume 41, Issue 4, Pages 593–603
DOI: https://doi.org/10.1007/BF02466856
Bibliographic databases:
Document Type: Article
UDC: 532.591+517.948
Language: Russian
Citation: A. A. Chesnokov, “Exact solutions of the one-dimensional Russo–Smereka kinetic equation”, Prikl. Mekh. Tekh. Fiz., 41:4 (2000), 21–32; J. Appl. Mech. Tech. Phys., 41:4 (2000), 593–603
Citation in format AMSBIB
\Bibitem{Che00}
\by A.~A.~Chesnokov
\paper Exact solutions of the one-dimensional Russo--Smereka kinetic equation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2000
\vol 41
\issue 4
\pages 21--32
\mathnet{http://mi.mathnet.ru/pmtf2950}
\elib{https://elibrary.ru/item.asp?id=17262020}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2000
\vol 41
\issue 4
\pages 593--603
\crossref{https://doi.org/10.1007/BF02466856}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2950
  • https://www.mathnet.ru/eng/pmtf/v41/i4/p21
    • This publication is cited in the following 4 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
    2. G. Russo, V. M. Teshukov, A. A. Chesnokov, “Special class of solutions of the kinetic equation of a bubbly fluid”, J. Appl. Mech. Tech. Phys., 46:2 (2005), 176–184  mathnet  mathnet  crossref
    3. G. Russo, V. M. Teshukov, A. A. Chesnokov, “Special class of solutions of the kinetic equation of a bubbly fluid”, J Appl Mech Tech Phys, 46:2 (2005), 176  crossref
    4. G. Russo, V. M. Teshukov, A. A. Chesnokov, “Special class of solutions of the kinetic equation of a bubbly fluid”, J Appl Mech Tech Phys, 46:2 (2005), 176  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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