Geodesic
Solvability of a chain of equations for space-time moments
Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 307-334 
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/
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     title = {Solvability of a~chain of equations for space-time moments},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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[6] Fursikov A. V., “Prostranstvenno-vremennye momenty i statisticheskie resheniya, sosredotochennye na gladkikh resheniyakh trekhmernoi sistemy Nave–Stoksa ili kvazilineinoi parabolicheskoi sistemy”, DAN SSSR, 274:3 (1984), 548–553 | MR | Zbl

[7] Lions Zh.-L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971 | Zbl

[8] Besov O. V., Ilin V. P., Nikolskii S. M., Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR | Zbl

[9] Khyuitt E., Ross K., Abstraktnyi garmonicheskii analiz, T. 2, Mir, M., 1975