Geodesic
Solvability of a chain of equations for space-time moments
Sbornik. Mathematics, Tome 53 (1986) no. 2, pp. 307-334 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     pages = {307--334},
     year = {1986},
     volume = {53},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1986_53_2_a1/}
}
TY  - JOUR
AU  - A. V. Fursikov
TI  - Solvability of a chain of equations for space-time moments
JO  - Sbornik. Mathematics
PY  - 1986
SP  - 307
EP  - 334
VL  - 53
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/SM_1986_53_2_a1/
LA  - en
ID  - SM_1986_53_2_a1
ER  - 
%0 Journal Article
%A A. V. Fursikov
%T Solvability of a chain of equations for space-time moments
%J Sbornik. Mathematics
%D 1986
%P 307-334
%V 53
%N 2
%U http://geodesic.mathdoc.fr/item/SM_1986_53_2_a1/
%G en
%F SM_1986_53_2_a1
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/

[1] Ladyzhenskaya O. A., Matematicheskie voprosy dinamiki vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970 | MR

[2] Monin A. S, Yaglom A. M., Statisticheskaya gidromekhanika, Ch. 1, Nauka, M., 1965; Ч. 2, Наука, М., 1967

[3] Vishik M. I., Fursikov A. V., Matematicheskie zadachi statisticheskoi gidromekhaniki, Nauka, M., 1980 | MR

[4] Fursikov A. V., “Statisticheskie ekstremalnye zadachi i odnoznachnaya razreshimost trekhmernoi sistemy Nave–Stoksa pri pochti vsekh nachalnykh usloviyakh”, PMM, 46:5 (1982), 797–805 | MR

[5] Alekseev V. M., Tikhomirov V. M., Fomin S. V., Optimalnoe upravlenie, Nauka, M., 1979 | MR

[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