Asymptotic behavior of localized perturbations in free shear layers. (English. Russian original) Zbl 0638.76059

Fluid Dyn. 22, No. 2, 173-179 (1987); translation from Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza 1987, No. 2, 8-14 (1987).


76E05 Parallel shear flows in hydrodynamic stability
76M99 Basic methods in fluid mechanics
Full Text: DOI


[1] A. G. Kulikovskii and I. S. Shikina, ?Development of two-dimensional perturbations on the surface of a shear discontinuity,? Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 12 (1979).
[2] A. G. Kulikovskii and I. S. Shikina, ?Asymptotic behavior of localized perturbations during Kelvin-Helmholtz instability,? Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 23 (1985).
[3] M. Gaster and A. Davey, ?The development of three-dimensional wave-packets in unbounded parallel flows,? J. Fluid Mech.,32, 801 (1968). · Zbl 0159.28103
[4] R. Betchov and W. O. Criminale (Jr), Problems of Hydrodynamic Stability [Russian translation], Mir, Moscow (1971) (possibly translation of: Stability of Parallel Flows, Academic Press, New York (1967)).
[5] S. A. Maslou, ?Instabilities and transition in shear flows,? in: Hydrodynamic Instabilities and the Transition to Turbulence [Russian translation], Mir, Moscow (1984), p. 218.
[6] A. Michalke, ?The instability of free shear layers,? Prog. Aeronaut. Sci.,12, 213 (1972).
[7] A. Michalke, ?On the inviscid instability of the hyperbolic tangent velocity profile,? J. Fluid Mech.,19, 543 (1964). · Zbl 0129.20302
[8] A. Michalke, ?On spatially growing disturbances in an inviscid shear layer,? J. Fluid Mech.,23 521 (1965).
[9] A. I. Akhiezer and R. V. Polovin, ?Criteria for the growth of waves,? Usp. Fiz. Nauk,104, 185 (1971).
[10] M. V. Fedoryuk, The Method of Steepest Descent [in Russian], Nauka, Moscow (1977). · Zbl 0463.41020
[11] Chia Chiao Lin, The Theory of Hydrodynamic-Stability, C.U.P. (1955).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.