@article{ZVMMF_1991_31_11_a8,
author = {G. L. Korolev},
title = {Flow separation and the non-uniqueness of the solution of the boundary layer equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1706--1715},
year = {1991},
volume = {31},
number = {11},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_11_a8/}
}
TY - JOUR AU - G. L. Korolev TI - Flow separation and the non-uniqueness of the solution of the boundary layer equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1991 SP - 1706 EP - 1715 VL - 31 IS - 11 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_11_a8/ LA - ru ID - ZVMMF_1991_31_11_a8 ER -
%0 Journal Article %A G. L. Korolev %T Flow separation and the non-uniqueness of the solution of the boundary layer equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1991 %P 1706-1715 %V 31 %N 11 %U http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_11_a8/ %G ru %F ZVMMF_1991_31_11_a8
G. L. Korolev. Flow separation and the non-uniqueness of the solution of the boundary layer equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 11, pp. 1706-1715. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_11_a8/
[1] Ruban A. I., “Asimptoticheskaya teoriya korotkikh zon otryva na perednei kromke tonkogo profilya”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1982, no. 1, 42–51 | MR | Zbl
[2] Stewartson K., Smith F. T., Kaups K., “Marginal separation”, Studies Appl. Math., 67:1 (1982), 45–61 | MR | Zbl
[3] Zametaev V. B., “Suschestvovanie i needinstvennost lokalnykh zon otryva v vyazkikh struyakh”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1986, no. 1, 38–42 | MR
[4] Gitler P., Kluwick A., “Triple deck solutions for supersonic flows past flared cylinders”, J. Fluid Mech., 179 (1987), 469–487 | DOI
[5] Korolev G. L., “K teorii otryvnogo obtekaniya zadnei kromki tonkogo profilya”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1989, no. 4, 55–59
[6] Hartree D. R., “On an equation occuring in Falkner-Skan's approximate treatment of the equations of the boundary layer”, Proc. Cambridge Philos. Soc., 33:2 (1937), 223–239 | DOI
[7] Smith F. T., “Non-uniqeness in wakes and boundary layers”, Proc. Roy. Soc. London A, 391 (1984), 1–26 | DOI | MR | Zbl
[8] Loitsyanskii L. G., Laminarnyi pogranichnyi sloi, Fizmatgiz, M., 1962
[9] Oleinik O. A., “O sisteme uravnenii teorii pogranichnogo sloya”, Zh. vychisl. matem. i matem. fiz., 3:3 (1963), 489–507 | MR
[10] Nickel K., “Einige Eigenschaften von Lösungender Prandtlschen Grenzschicht-Differentialgleichungen”, Arch. Ration. Mech. and Analys., 2:1 (1958), 1–31 | DOI | MR | Zbl
[11] Goldstein S., “On laminar boundary-layer equations in hydrodynamics”, Proc. Cambridge Philos. Soc., 26:1 (1948), 1–30 | DOI | MR
[12] V. V. Sychev (red.), Asimptoticheskaya teoriya otryvnykh techenii, Nauka, M., 1987, 31 pp.
[13] Ruban A. I., “Osoboe reshenie uravnenii pogranichnogo sloya, nepreryvno prodolzhimoe cherez tochku nulevogo poverkhnostnogo treniya”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1981, no. 6, 42–52 | MR | Zbl
[14] Brown S. N., Stewartson K., “On an integral equation of marginal separation”, SIAM J. Appl. Math., 43:5 (1983), 1119–1126 | DOI | MR | Zbl
[15] 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
[16] Carter J. E., Solutions for laminar boundary layers with separation and reattachment, AIAA Paper No 74-583, 1974
[17] 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
[18] Van-Dyke M. D., Second-order subsonic airfoil theory including edge effects, NAGA Rept. 1274, 1959
[19] Ermak Yu. N., Obtekanie perednei zakruglennoi kromki tonkogo profilya vyazkim neszhimaemym potokom, Tr. TsAGI, 1141, M., 1969
[20] Werle M. J., Davis R. T., “Incompressible laminar boundary layers on a parabola of angle of attack: a study of the separation point”, Trans. ASME. Ser. E. J. Appl. Mech., 39:1 (1972), 7–12 | DOI | Zbl
[21] Smith F. T., “The laminar separation of an incompressible fluid streaming past a smooth surface”, Proc. Roy. Soc. London. Ser. A, 356:1687 (1977), 443–463 | DOI | Zbl
[22] Korolev G. L., “Chislennoe reshenie asimptoticheskoi zadachi ob otryve laminarnogo pogranichnogo sloya ot gladkoi poverkhnosti”, Uch. zap. TsAGI, 11:2 (1980), 27–36 | MR