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Unification of the kinetic and hydrodynamic approaches in the theory of dense gases and liquids

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The paper discusses one of the approaches to the kinetics and hydrodynamics of dense gases and liquids based on modification of Bogolyubov's conditions of correlation weakening for the Liouville equation for the nonequilibrium distribution function. An entropy of a nonequilibrium state that depends on both the kinetic and the hydrodynamic parameters is defined. Generalized transport equations are obtained for the hydrodynamic variables, and these equations are consistent with the kinetic equation for the single-particle distribution function.

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deceased

V. A. Steklov Mathematics Institute; Moscow Institute of Radio Technology, Electronics, and Automation; Institute of the Physics of Condensed Systems, Ukrainian Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 96, No. 3, pp. 325–350, September, 1993.

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Zubarev, D.N., Morozov, V.G., Omelyan, I.P. et al. Unification of the kinetic and hydrodynamic approaches in the theory of dense gases and liquids. Theor Math Phys 96, 997–1012 (1993). https://doi.org/10.1007/BF01019063

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