Geodesic
Molecular hydrodynamics of degenerate weakly nonideal bose gas. I. Generalized equations of two-fluid hydrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 3, pp. 412-465 
Yu. A. Tserkovnikov. Molecular hydrodynamics of degenerate weakly nonideal bose gas. I. Generalized equations of two-fluid hydrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 3, pp. 412-465. http://geodesic.mathdoc.fr/item/TMF_1992_93_3_a3/
@article{TMF_1992_93_3_a3,
     author = {Yu. A. Tserkovnikov},
     title = {Molecular hydrodynamics of degenerate weakly nonideal bose {gas.~I.~Generalized} equations of two-fluid hydrodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {412--465},
     year = {1992},
     volume = {93},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_3_a3/}
}
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The none-ideal weakly interacting Bose gas is investigated near zero temperature. On the basis of the equations, which connect the irredusible correlation functions the exact expressions for two time temperature Green's functions are obtained. In the case of weakly interacting Bose gas the interpolation formula for densty-density function is calculated suitable for arbitarary frequencies and momentum. For low frequencies the equations coincide with that of two-fluid hydrodynamics. When the wave length is less than the mean free path, the results of the usual perturbation theory for weak interaction is reproduced.The expression for superfluid velocity operator is obtained.

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