Geodesic
Equations of the multifluid hydrodynamics
Matematičeskoe modelirovanie, Tome 8 (1996) no. 6, pp. 33-37.

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The statistical derivation of hydrodynamic equations of dispersed medium is proposed. It is supposed that the interaction between carrier medium molecules and between dispersed particles is potential, and the molecules-particles interaction may be potential or nonpotential. The dynamics of such a system is described by Liouville (or pseudoliouville) equation. The solution of this equation corresponding to the reduced hydrodynamic description of a system is obtained. Every component of a mixture is described by the own set of hydrodynamic variables. The expressions for transport coefficients and interphase forces are obtained in an explicit form. 
@article{MM_1996_8_6_a5,
     author = {V. Ya. Rudyak and A. A. Belkin},
     title = {Equations of the multifluid hydrodynamics},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {33--37},
     publisher = {mathdoc},
     volume = {8},
     number = {6},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1996_8_6_a5/}
}
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V. Ya. Rudyak; A. A. Belkin. Equations of the multifluid hydrodynamics. Matematičeskoe modelirovanie, Tome 8 (1996) no. 6, pp. 33-37. http://geodesic.mathdoc.fr/item/MM_1996_8_6_a5/