Asymptotic solutions of the Orr–Sommerfeld equation in the neighborhoods of the two branches of the neutral curve
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 11, pp. 1737-1753 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. I. Zhuk; I. G. Protsenko. Asymptotic solutions of the Orr–Sommerfeld equation in the neighborhoods of the two branches of the neutral curve. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 11, pp. 1737-1753. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_11_a12/

[1] Glauert M. B., “The wall jet”, J. Fluid Mech., 1 (1956), 625–643 | DOI | MR

[2] Von Kárman Th., “Über laminare und turbulente Reibung”, Z. and Mech. and Math., 1:4 (1921)

[3] Messiter A. F., Liñ án A., “The vertical plate in laminar free convection: effects of leading and trailing edges and discontinuous temperature”, Z. Mech. and Phys., 27:5 (1976), 633–651 | MR | Zbl

[4] Lin Ts. Ts., Teoriya gidrodinamicheskoi ustoichivosti, Izd-vo inostr. lit., M., 1958

[5] Vazov V., Asimptoticheskie razlozheniya reshenii obyknovennykh differentsialnykh uravnenii, Mir, M., 1968

[6] Abramovits M., Stigan I., Spravochnik po spetsialnym funktsiyam, Nauka, M., 1979 | MR

[7] Ryzhov O. S., “Neustoichivost rasprostranyayuscheisya vdol stenki strui vyazkoi zhidkosti”, Prikl. mekhan. i tekhn. fiz., 1982, no. 2, 26–33 | MR

[8] Smith F. T., Duck P. W., “Separation of jets or thermal boundary layers from a wall”, Quart. J. Mech. Appl. Math., 30:2 (1977), 143–156 | DOI | MR | Zbl

[9] Zhuk V. I., “Ob asimptotike reshenii uravneniya Orra–Zommerfelda v oblastyakh, primykayuschikh k dvum vetvyam neitralnoi krivoi”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1984, no. 4, 3–11 | Zbl

[10] Zhuk V. I., “Asimptotika verkhnei vetvi neitralnoi krivoi pri do- i transzvukovykh skorostyakh vneshnego potoka”, Zh. vychisl. matem. i matem. fiz., 31:11 (1991), 65–71 | MR