Geodesic
Violation of the determinacy principle of nonstationary equations of two-and three-dimensional gas dynamics for sufficiently large reynolds numbers
Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 3, pp. 361-378 
V. P. Maslov. Violation of the determinacy principle of nonstationary equations of two-and three-dimensional gas dynamics for sufficiently large reynolds numbers. Teoretičeskaâ i matematičeskaâ fizika, Tome 69 (1986) no. 3, pp. 361-378. http://geodesic.mathdoc.fr/item/TMF_1986_69_3_a4/
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     title = {Violation of the determinacy principle of nonstationary equations of two-and three-dimensional gas dynamics for sufficiently large reynolds numbers},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Asymptotic nonuniqueness of the solution of the nonstationary Navier–Stokes equations, which leads to turbulence, is proved. However, the mean values are unique. A closed system of equations is found for them.

[1] Goldman I. I., Krivchenkov V. D., Sbornik zadach po kvantovoi mekhanike, GITTL, M., 1957

[2] Maslov V. P., Mosolov P. P., Zadacha Koshi dlya uravnenii vyazkoi szhimaemoi zhidkosti, VINITI, M., 1984

[3] Maslov V. P., Mosolov P. P., Nelineinye giperbolicheskie uravneniya s maloi vyazkostyu, VINITI, M., 1984

[4] Bai Shi-i, Turbulentnoe techenie zhidkostei i gazov, IL, M., 1962

[5] Maslov V. P., Resonance process in the wave theory and self-focalization, VINITI, M., 1983

[6] Obukhov A. M., Glezer F. T., Dolzhanskii G. V., Nelineinye sistemy gidrodinamicheskogo tipa, Nauka, M., 1974