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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, gerasym@imath.kiev.ua
  • Bogolyubov Institute for Theoretical Physics NAS of Ukraine, 14-b, Metrolohichna str., Kyiv, 03680, Ukraine, vshtyk@bitp.kiev.ua
  • Bogolyubov Institute for Theoretical Physics NAS of Ukraine, 14-b, Metrolohichna str., Kyiv, 03680, Ukraine, azagorodny@bitp.kiev.ua
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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