Flow separation and nonuniqueness of solutions to the equations of a turbulent boundary layer
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 6, pp. 1008-1016 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1998_38_6_a12,
     author = {G. L. Korolev},
     title = {Flow separation and nonuniqueness of solutions to the equations of a turbulent boundary layer},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1008--1016},
     year = {1998},
     volume = {38},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_6_a12/}
}
TY  - JOUR
AU  - G. L. Korolev
TI  - Flow separation and nonuniqueness of solutions to the equations of a turbulent boundary layer
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1998
SP  - 1008
EP  - 1016
VL  - 38
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_6_a12/
LA  - ru
ID  - ZVMMF_1998_38_6_a12
ER  - 
%0 Journal Article
%A G. L. Korolev
%T Flow separation and nonuniqueness of solutions to the equations of a turbulent boundary layer
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1998
%P 1008-1016
%V 38
%N 6
%U http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_6_a12/
%G ru
%F ZVMMF_1998_38_6_a12
G. L. Korolev. Flow separation and nonuniqueness of solutions to the equations of a turbulent boundary layer. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 6, pp. 1008-1016. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_6_a12/

[1] Brown S. N., Stewartson K., “On integral equation of marginal separation”, SIAM J. Appl. Math., 43:5 (1983), 1119–1126 | DOI | MR | Zbl

[2] Ruban A. M., “Asimptoticheskaya teoriya korotkikh otryvnykh zon na perednei kromke tonkogo profilya”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1982, no. 1, 23–28 | MR

[3] Zametaev V. B., “Suschestvovanie i needinstvennost lokalnykh otryvnykh zon v vyazkikh struyakh”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1986, no. 1, 38–32 | MR

[4] Korolev G. L., “K teorii otryvnogo techeniya vblizi zadnei kromki tonkogo profilya”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1989, no. 4, 55–59

[5] Korolev G. L., “Interaction theory and non-uniqeness of separated flows around solid bodies”, Separated Flows and Jets, Springer, Berlin, 1991, 139–142

[6] Gitler P., Kluwick A., “Triple deck solutions for supersonic flows past flared cylinders”, J. Fluid Mech., 179 (1987), 469–487 | DOI

[7] Stewartson K., “Further solutions of the Falkner–Skan equations”, Proc. Cambridge Philos. Soc., 50 (1954), 454–465 | DOI | MR | Zbl

[8] Diesperov B. H., “O suschestvovanii i needinstvennosti avtomodelnykh reshenii opisyvayuschikh techenie v sloyakh smesheniya”, Dokl. AN SSSR, 276:6 (1984), 1341–1346 | MR

[9] Smith F. T., “Non-uniqueness in wakes and boundary layers”, Proc. Roy. Soc. London. Ser. A, 391 (1984), 42–51

[10] Korolev G. L., “Otryv potoka i needinstvennost resheniya uravnenii pogranichnogo sloya”, Zh. vychisl. matem. i matem. fiz., 31:11 (1991), 1706–1715 | MR

[11] Loitsyanskii L. P., Laminarnyi pogranichnyi sloi, Fizmatgiz, M., 1962

[12] Nickel K., “Einige Eigenschaften von Losungender Prandtlschen Grenzschicht-Differentialgleichungen”, Arch. Ration. Mech. and Analys., 2:1 (1958), 1–31 | DOI | MR | Zbl

[13] Oleinik O. A., “O sisteme uravnenii teorii pogranichnogo sloya”, Zh. vychisl. matem. i matem. fiz., 3:3 (1963), 489–507 | MR

[14] Khusnutdinova N. V., “O prodolzhenii resheniya za tochku s nulevym napryazheniem treniya na stenke”, Dinamika sploshnoi sredy, 33, Novosibirsk, 1978, 147–159 | MR

[15] Goldstein S., “On laminar boundary-layer equations in hydrodynamics”, Proc. Cambridge Philos. Soc., 26:1 (1948), 1–30 | DOI

[16] Stewartson K., “Is the singularity removable?”, J. Fluid Mech., 44:2 (1970), 347–364 | DOI | Zbl

[17] Sychev V. V., Ruban L. I., Sychev Vik. V., Korolev G. L., Asimptoticheskaya teoriya otryvnykh techenii, Nauka, M., 1987

[18] Ruban A. I., “Osoboe reshenie uravnenii pogranichnogo sloya nepreryvno prodolzhaemoe cherez tochku nulevogo treniya”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1981, no. 6, 42–52 | MR | Zbl

[19] Stewartson K., Smith F. T., Kaups K., “Marginal separation”, Studies Appl. Math., 67:1 (1982), 45–61 | MR | Zbl

[20] Van Driest E. R., “On turbulent flow near a wall”, J. Aeronaut. Sci., 23 (1956), 1007–1011 | Zbl

[21] Fletcher R. H., “Prediction of incompressible turbulent separating flow”, J. Fluid Engng., 100:4 (1978), 427–433 | DOI

[22] Fletcher R. H., “Prediction of turbulent boundary layers at low Reynolds numbers”, AIAA Journal, 14:5 (1976), 696–698 | DOI | MR

[23] Cebeci T., Smith A. M. O., Analysis of turbulent boundary layers, Academic, New York, 1974 | Zbl

[24] Carter J. E., Solutions for laminar boundary layers with separation and reattachment, AIAA Paper, No 74-583

[25] Korolev G. L., “Ob odnom metode resheniya zadach asimptoticheskoi teorii vzaimodeistviya pogranichnogo sloya s vneshnim potokom”, Zh. vychisl. matem. i matem. fiz., 27:8 (1987), 1224–1232

[26] Flugge-Lotz I., Reyner T. A., “The interaction of a shock wave with a laminar boundary layer”, Internat. J. Non-Linear Mech., 3:2 (1968), 173–199 | DOI