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Number of results

Journal

2011 | 9 | 1 | 71-77

Article title

Hydrodynamic equations for microscopic phase densities

Content

Title variants

Languages of publication

EN

Abstracts

EN
Evolution equations for marginal generalized microscopic phase densities are introduced. The evolution equations for average values of microscopic phase densities are derived and a solution of the initial-value problem for the hydrodynamic type hierarchy obtained is constructed.

Publisher

Journal

Year

Volume

9

Issue

1

Pages

71-77

Physical description

Dates

published
1 - 2 - 2011
online
24 - 9 - 2010

Contributors

  • Institute of Mathematics NAS of Ukraine, 3, Tereshchenkivs’ka str., Kyiv, 01601, Ukraine
  • Bogolyubov Institute for Theoretical Physics NAS of Ukraine, 14-b, Metrolohichna str., Kyiv, 03680, Ukraine
  • Bogolyubov Institute for Theoretical Physics NAS of Ukraine, 14-b, Metrolohichna str., Kyiv, 03680, Ukraine

References

  • [1] Yu.L. Klimontovich, V.P. Silin, Zhurn. Exp. Teor. Fiz. 23, 151 (1952)
  • [2] Yu.L. Klimontovich, Statistical Physics (Harwood Acad. Publ., London, 1986)
  • [3] R. Balescu, Aspects of Anomalous Transport in Plasmas (Institute of Physics, Bristol, 2005) http://dx.doi.org/10.1201/9781420034684[Crossref]
  • [4] Yu.L. Klimontovich, H. Wilhelmsson, I.P. Yakimenko, A.G. Zagorodny, Statistical Theory of Plasma-Molecular Systems (Moscow State Univ. Press, Moscow, 1990)
  • [5] A.G. Sitenko, A.G. Zagorodny, Ukr. J. Phys. 45, 446 (2000)
  • [6] A. Zagorodny, J. Weiland, Phys. Plasmas 16, 052308 (2009) http://dx.doi.org/10.1063/1.3125306[Crossref]
  • [7] N.N. Bogolyubov, Problems of Dynamic Theory in Statistical Physics (FITTL, Moscow, 1946)
  • [8] C. Cercignani, V.I. Gerasimenko, D.Ya. Petrina, Many-Particle Dynamics and Kinetic Equations (Kluwer, Amsterdam, 1997) http://dx.doi.org/10.1007/978-94-011-5558-8[Crossref]
  • [9] G. Borgioli, V.I. Gerasimenko, Riv. Mat. Univ. Parma 4, 251 (2001)
  • [10] D.Ya. Petrina, V.I. Gerasimenko, Uspekhi Mat. Nauk 45, 135 (1990)
  • [11] V.I. Gerasimenko, T.V. Ryabukha, M.O. Stashenko, J. Phys. A: Math. Gen. 37, 9861 (2004) http://dx.doi.org/10.1088/0305-4470/37/42/002[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-010-0033-9
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