Geodesic
Solvability of a~chain of equations for space-time moments
Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 307-334

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An infinite chain of equations is considered for space-time moments corresponding to smooth solutions of the three-dimensional Navier–Stokes system or of a parabolic system with quadratic nonlinear part. It is proved that for a dense set of initial conditions this chain of equations has a solution defined for all times $t\in\mathbf R_+$. Bibliography: 9 titles. 
@article{SM_1986_53_2_a1,
     author = {A. V. Fursikov},
     title = {Solvability of a~chain of equations for space-time moments},
     journal = {Sbornik. Mathematics},
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     volume = {53},
     number = {2},
     year = {1986},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_53_2_a1/}
}
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A. V. Fursikov. Solvability of a~chain of equations for space-time moments. Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 307-334. http://geodesic.mathdoc.fr/item/SM_1986_53_2_a1/