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

  • G. Russo
  • V. M. Teshukov
  • A. A. Chesnokov


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.

Key words

bubbly fluid kinetic equation hyperbolicity exact solutions 


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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • G. Russo
    • 1
  • V. M. Teshukov
    • 2
  • A. A. Chesnokov
    • 2
  1. 1.University of CataniaCataniaItaly
  2. 2.Lavrent’ev Institute of Hydrodynamics, Siberian DivisionRussian Academy of SciencesNovosibirsk

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