@article{SM_1995_81_1_a12,
author = {A. V. Fursikov and O. Yu. Imanuvilov},
title = {The rate of convergence of approximations for the closure of the {Friedman{\textendash}Keller} chain in the case of large {Reynolds} numbers},
journal = {Sbornik. Mathematics},
pages = {235--259},
year = {1995},
volume = {81},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_81_1_a12/}
}
TY - JOUR AU - A. V. Fursikov AU - O. Yu. Imanuvilov TI - The rate of convergence of approximations for the closure of the Friedman–Keller chain in the case of large Reynolds numbers JO - Sbornik. Mathematics PY - 1995 SP - 235 EP - 259 VL - 81 IS - 1 UR - http://geodesic.mathdoc.fr/item/SM_1995_81_1_a12/ LA - en ID - SM_1995_81_1_a12 ER -
%0 Journal Article %A A. V. Fursikov %A O. Yu. Imanuvilov %T The rate of convergence of approximations for the closure of the Friedman–Keller chain in the case of large Reynolds numbers %J Sbornik. Mathematics %D 1995 %P 235-259 %V 81 %N 1 %U http://geodesic.mathdoc.fr/item/SM_1995_81_1_a12/ %G en %F SM_1995_81_1_a12
A. V. Fursikov; O. Yu. Imanuvilov. The rate of convergence of approximations for the closure of the Friedman–Keller chain in the case of large Reynolds numbers. Sbornik. Mathematics, Tome 81 (1995) no. 1, pp. 235-259. http://geodesic.mathdoc.fr/item/SM_1995_81_1_a12/
[1] Reinolds O., “O dinamicheskoi teorii neszhimaemoi vyazkoi zhidkosti i opredelenii kriteriya”, Problemy turbulentnosti, ONTI, M., 1936, 185–227
[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., “O probleme zamykaniya tsepochki momentnykh uravnenii v sluchae bolshikh chisel Reinoldsa”, Neklassicheskie uravneniya i uravneniya smeshannogo tipa, Matem. sbornik AN SSSR, Novosibirsk, 1990, 231–250 | MR | Zbl
[5] Fursikov A. V., “Problema zamykaniya tsepochek momentnykh uravnenii, sootvetstvuyuschikh trekhmernoi sisteme Nave–Stoksa v sluchae bolshikh chisel Reinoldsa”, DAN SSSR, 319:1 (1991), 83–87 | MR | Zbl
[6] Fursikov A. V., “Closure problem for the chain of the Friedmann–Keller moment equations in the case of large Reynolds numbers”, The Navier–Stikes equations. Theory and Numerical Methods, Proceedings (Oberwolfach, 1991), Lecture Notes in Mathematics, 1530, Springer-Verlag, 1992, 226–254 | MR
[7] Tikhonov A. N., Arsenin V. Ya., Metody reshenii nekorrektnykh zadach, Nauka, M., 1979 | MR
[8] Fursikov A. V., “Zadacha Koshi dlya ellipticheskogo uravneniya vtorogo poryadka v uslovno-korrektnoi postanovke”, Tr. MMO, 52, URSS, M., 1989, 138–174 | Zbl
[9] Uolsh Dzh. L., Interpolyatsiya i approksimatsiya ratsionalnymi funktsiyami v kompleksnoi oblasti, Izd-vo IL, M., 1961 | MR
[10] Fursikov A. V., “O edinstvennosti resheniya tsepochki momentnykh uravnenii, sootvetstvuyuschei trekhmernoi sisteme Nave–Stoksa”, Matem. sb., 134(176):4 (1987), 472–495 | MR
[11] Ladyzhenskaya O. A., Matematicheskaya teoriya vyazkoi neszhimaemoi zhidkosti, Nauka, M., 1970
[12] Temam R., Uravneniya Nave–Stoksa. Teoriya i chislennyi analiz, Mir, M., 1981 | MR | Zbl
[13] Fursikov A. V., “Momentnaya teoriya dlya uravnenii Nave–Stoksa so sluchainoi pravoi chastyu”, Izvestiya RAN. Seriya matem., 56:6 (1992), 1273–1315 | MR | Zbl
[14] Alekseev V. N., Tikhomirov V. M., Fomin S. V., Optimalnoe upravlenie, Nauka, M., 1979 | MR
[15] Lions Zh.-L., Madzhenes E., Neodnorodnye kraevye zadachi i ikh prilozheniya, T. 1, Mir, M., 1971 | Zbl