Literature cited
Chia Chiao Lin, The Theory of Hydrodynamic Stability, C.U.P. (1955).
Ya. B. Zel'dovich, “Amplification of cylindrical electromagnetic waves on reflection from a rotating body,” Zh. Eksp. Teor. Fiz.,62, 2076 (1972).
H. S. Ribner, “Reflection transmission and amplification of sound by a moving medium,” J. Acoust. Soc. Am.,29, 435 (1957).
P. I. Kolykhalov, “Instability of a shear discontinuity in a gas moving near a solid wall,” Preprint No. 824 [in Russian], Inst. Kosm. Issled. Akad. Nauk SSSR, Moscow (1983).
L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon Press, Oxford (1959).
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)).
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover (1964).
A. F. Nikoforov and V. B. Uvarov, Fundamentals of the Theory of Special Functions [in Russian], Nauka, Moscow (1974).
M. A. Gol'dshtik and V. N. Shtein, Hydrodynamic Stability and Turbulence [in Russian], Novosibirsk (1977).
L. D. Landau and E. M. Lifshitz, Mechanics, 3rd ed., Pergamon Press, Oxford (1976).
F. W. Olver, Introduction to Asymptotics and Special Functions, New York (1974).
M. V. Fedoryuk, Asymptotic Methods for Linear Ordinary Differential Equations [in Russian], Nauka, Moscow (1983).
All-Hasan Nayfeh, Perturbation Methods, Wiley, New York (1973).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 10–16, March–April, 1985.
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Kolykhalov, P.I. Instability of plane-parallel supersonic gas flows in the linear approximation. Fluid Dyn 20, 175–181 (1985). https://doi.org/10.1007/BF01091023
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DOI: https://doi.org/10.1007/BF01091023