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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 3, Pages 501–512
DOI: https://doi.org/10.4213/tmf167
(Mi tmf167)
 

Derivation of the Hydrodynamic Equations in the Framework of the Bogoliubov Functional Hypothesis

Yu. N. Orlov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
References:
Abstract: We generalize the Bogoliubov functional hypothesis to the case of multiparticle interaction depending on both the coordinates and momenta of particles. We illustrate this with the examples of two weakly relativistic models: the Darwin model in the theory of charged particles and the Fock model in the general theory of relativity. For these models, based on the chain of the BBGKY equations, we calculate weakly relativistic corrections to the classical transport coefficients and find the conditions under which there is no bijective relation between the parameters of the local equilibrium distribution and the hydrodynamic variables.
Keywords: Bogoliubov chain, weakly relativistic approximation, hydrodynamic equations.
Received: 30.07.2001
Revised: 13.08.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 3, Pages 439–449
DOI: https://doi.org/10.1023/A:1022661708214
Bibliographic databases:
Language: Russian
Citation: Yu. N. Orlov, “Derivation of the Hydrodynamic Equations in the Framework of the Bogoliubov Functional Hypothesis”, TMF, 134:3 (2003), 501–512; Theoret. and Math. Phys., 134:3 (2003), 439–449
Citation in format AMSBIB
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\paper Derivation of the Hydrodynamic Equations in the Framework of the Bogoliubov Functional Hypothesis
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\issue 3
\pages 501--512
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\crossref{https://doi.org/10.4213/tmf167}
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\zmath{https://zbmath.org/?q=an:1178.82071}
\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 3
\pages 439--449
\crossref{https://doi.org/10.1023/A:1022661708214}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000182047100012}
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  • https://www.mathnet.ru/eng/tmf167
  • https://doi.org/10.4213/tmf167
  • https://www.mathnet.ru/eng/tmf/v134/i3/p501
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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