Journal of Applied Mechanics and Technical Physics

, Volume 37, Issue 5, pp 692–702 | Cite as

Evolution of singular points and interfaces separating the domain of residence of these points from the fluid

  • N. A. Inogamov
  • A. Yu. Dem'yanov


Mathematical Modeling Mechanical Engineer Singular Point Industrial Mathematic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    H. Lamb,Hydrodynamics [Russian translation], Gostekhteoretizdat, Moscow-Leningrad (1947).Google Scholar
  2. 2.
    M. I. Gurevich,Theory of Jets of an Ideal Fluid [in Russian], Fizmatgiz, Moscow (1961).Google Scholar
  3. 3.
    L. N. Sretenskii,Theory of Wave Motions of a Fluid [in Russian], Nauka, Moscow (1977).Google Scholar
  4. 4.
    L. V. Ovsyannikov, “Asymptotic representation of solitary waves,”Dokl. Akad. Nauk SSSR,318, No. 3, 556–559 (1991).zbMATHMathSciNetGoogle Scholar
  5. 5.
    R. D. Richtmyer, “Taylor instability in shock acceleration of compressible fluids,”Commun. Pure Appl. Math.,13, 297–319 (1960).MathSciNetGoogle Scholar
  6. 6.
    E. E. Meshkov, “Instability of the interface between two gases accelerated by a density discontinuity,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 5, 151–155 (1969).Google Scholar
  7. 7.
    V. B. Rosanov, I. G. Lebo, S. G. Zaitsev, et al., “Experimental investigation of gravitational instability and turbulent mixing of stratified flows in the field of acceleration for the problems of inertial thermonuclear synthesis,” Preprint, Physical Inst., Acad. of Sciences, Moscow (1990).Google Scholar
  8. 8.
    R. Benjamin, D. Besnard, and J.-F. Haas, “Richtmyer-Meshkov instability of shocked-gaseous interfaces,” in:Shock Waves: Proc. of the 18th ISSWST, Sendai, Japan, 1991, Springer-Verlag, Berlin (1992).Google Scholar
  9. 9.
    D. L. Youngs, “Numerical simulation of turbulent mixing by Rayleigh-Taylor instability,”Physica D, Nonlinear Phenomena,12D, 32–44 (1984).ADSGoogle Scholar
  10. 10.
    Yu. A. Kucherenko, G. G. Tomashev, and L. I. Shibarshov, “Experimental investigation of gravitational turbulent mixing in a self-simulating regime,” in:Questions of Atomic Science and Engineering, Ser. Theoretical and Applied Physics, No. 1 (1988), pp. 13–19.Google Scholar
  11. 11.
    N. N. Anuchina, M. G. Anuchin, V. I. Volkov, et al., “Numerical investigation of the effect of compressibility of a medium on the development of Rayleigh-Taylor instability,” in:Questions of Atomic Science and Engineering, Ser. Simulation of Physical Processes, No. 2 (1990), pp. 10–16.Google Scholar
  12. 12.
    V. V. Nikiforov, “Turbulent mixing at the contact boundary between media with different densities,” in:Questions of Atomic Science and Engineering, Ser. Theoretical and Applied Physics, No. 1 (1985), pp. 3–12.Google Scholar
  13. 13.
    E. G. Gamaly, A. P. Favorsky, A. O. Fedyanin, et al., “Nonlinear stage in the development of hydrodynamic instability in laser targets,”Laser Part. Beam.,8, 399–407 (1990).Google Scholar
  14. 14.
    V. E. Neuvazhayev and V. G. Yakovlev, “A model and method of numerical calculation of turbulent mixing of an interface moving with acceleration,” in:Questions of Atomic Science and Engineering, Ser. Techniques and Programs for Numerical solution of Problems in Mathematical Physics, No. 2 (1984), pp. 16–20.Google Scholar
  15. 15.
    S. W. Haan, “Weakly nonlinear hydrodynamic instabilities in inertial fusion,”Phys. Fluids B,3, 1992–2000 (1990).Google Scholar
  16. 16.
    P. R. Garabedian, “On steady-state bubbles generated by Taylor instability,”Proc. Roy. Soc. London Ser. A,241, 423–431 (1957).ADSzbMATHMathSciNetGoogle Scholar
  17. 17.
    N. A. Inogamov, “Singular mixing in stars,”Pis'ma Astron. Zh.,20, No. 10, 754–761 (1994).ADSGoogle Scholar
  18. 18.
    S. I. Anisimov, A. V. Chekhlov, A. Yu. Dem'yanov, and N. A. Inogamov, “The theory of Rayleigh-Taylor instability: modulatory perturbations and mushroom-flow dynamics,”Russian J. Comp. Mech.,1, No. 2, 5–32 (1993).Google Scholar
  19. 19.
    N. A. Inogamov, A. V. Chekhlov, “Existence, uniqueness and physical selection of asymptotically steady-state solutions in the theory of Rayleigh-Taylor instability,” in:Proc. of the 4th Int. Workshop on the Phys. of Compressible Turbulent Mixing, P. F. Linden, D. L. Youngs, and S. B. Dalziel (eds.), Cambridge Univ. Press (1993), pp. 50–56.Google Scholar
  20. 20.
    O. M. Belotserkovskii and Yu. M. Davydov,The Method of Coarse Particles in Gas Dynamics [in Russian], Nauka, Moscow (1982).Google Scholar
  21. 21.
    E. A. Kuznetsov, M. D. Spector, and V. E. Zakharov, “Surface singularities of an ideal fluid,”Phys. Lett. A,182, 387–393 (1993).CrossRefADSMathSciNetGoogle Scholar
  22. 22.
    E. A. Kuznetsov, M. D. Spector, and V. E. Zakharov, “Formation of singularities on the free surface of an ideal fluid,”Phys. Rev. E,49, 1283–1290 (1994).CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • N. A. Inogamov
    • 1
  • A. Yu. Dem'yanov
    • 2
  1. 1.Landau Institute of Theoretical PhysicsRussian Academy of SciencesChernogolovka
  2. 2.Moscow Physical-Technical InstituteDolgoprudnyi

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