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Existence of the Boltzmann-Grad limit for an infinite system of hard spheres

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Literature Cited

  1. N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in: Studies in Statistical Mechanics, Vol. 1 (eds. J. de Boer and G. E. Uhlenbeck), North-Holland, Amsterdam (1962).

    Google Scholar 

  2. D. Ya. Petrina, V. I. Gerasimenko, and P. V. Malyshev, Mathematical Foundations of Classical Statistical Mechanics [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  3. D. Ya. Petrina, Teor. Mat. Fiz.,38, 230 (1979).

    Google Scholar 

  4. H. Grad, Handbuch der Physik. Band 12, Springer, Berlin (1958), pp. 205–294.

    Google Scholar 

  5. V. I. Gerasimenko and D. Ya. Petrina, Teor. Mat. Fiz.,64, 130 (1985); D. Ya. Petrina and V. I. Gerasimenko, “Evolution of a three-dimensional infinite hard core system,” Preprint ITP-84-117E [in English] (1984).

    Google Scholar 

  6. O. E. Lanford, Lecture Notes in Physics,38, 1 (1975); J. L. Lebowitz and E. W. Montroll (eds.), Nonequilibrium Phenomena I. The Boltzmann Equation, Studies in Statistical Mechanics, Vol. 19, North-Holland, Amsterdam (1983).

    Google Scholar 

  7. M. Shinbrot, Math. Meth. in Appl. Sci.,6, 539 (1984).

    Google Scholar 

  8. R. Illner and M. Pulvirenti, Commu. Math. Phys.,105, 189 (1986); M. Pulvirenti, Commun. Math. Phys.,113, 79 (1987).

    Google Scholar 

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Authors
  1. V. I. Gerasimenko
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  2. D. Ya. Petrina
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Additional information

Institute of Mathematics, Ukrainian SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 83, No. 1, pp. 92–114, April, 1990.

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Gerasimenko, V.I., Petrina, D.Y. Existence of the Boltzmann-Grad limit for an infinite system of hard spheres. Theor Math Phys 83, 402–418 (1990). https://doi.org/10.1007/BF01019139

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  • DOI: https://doi.org/10.1007/BF01019139

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