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Nonstationary critical layer and nonlinear instability in a planar poiseuille flow

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Literature cited

  1. R. Betchov and W. O. Criminale, Stability of Parallel Flows, Academic Press, New York (1967).

    Google Scholar 

  2. D. J. Benney and R. F. Bergeron, “A new class of nonlinear waves in parallel flows,” Stud. Appl. Math.,48, No. 3 (1969).

  3. H. Huberman, “Critical layers in parallel flows,” Stud. Appl. Math.,51, No. 2 (1972).

  4. J. L. Robinson, “The inviscid nonlinear instability of parallel shear flows,” J. Fluid Mech.,63, No. 4 (1974).

  5. V. N. Zhigulev, “Nonlinear theory of perturbation evolution,” in: Aerogasdynamics and Physical Kinetics [in Russian], ITPM Sib. Branch, Acad. Sci. USSR, Novosibirsk (1977).

    Google Scholar 

  6. V. P. Reutov, “Plasma-hydrodynamic analogy and the nonlinear stage of instability of weather waves,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana,16, No. 12 (1980).

  7. A. V. Timofeev, “Oscillating inhomogeneous flows of plasmas and fluids,” Usp. Fiz. Nauk,102, No. 2 (1970).

  8. A. Miura and T. Sato, “Theory of vertex nutation and amplitude oscillation in inviscid shear instability,” J. Fluid Mech.,86, No. 1 (1978).

  9. A. A. Andropov and A. L. Fabrikant, “Landau damping, weather waves, and whistles,” in: Nonlinear Waves [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  10. H. Schlichting, Boundary Layer Theory, 7th edn., McGraw-Hill, New York (1979).

    Google Scholar 

  11. C. C. Lin, The Theory of Hydrodynamic Stability, Cambridge Univ. Press (1955).

  12. T. O'Neil, “Collisionless damping of nonlinear plasma oscillation,” Phys. Fluids,8, No. 12 (1965).

  13. A. A. Galeev and R. Z. Sagdeev, “Nonlinear plasma theory,” in: Problems of Plasma Theory [in Russian], No. 7, Atomizdat, Moscow (1973).

    Google Scholar 

  14. V. D. Shapiro and V. I. Shevchenko, “Interaction of finite-amplitude waves with a plasma,” Preprint FTI 72-24, Kharkov (1972).

  15. V. D. Shapiro and V. I. Shevchenko, “Wave-particle interaction in nonequilibrium media,” Izv. Vyssh. Uchebn. Zaved., Radiofiz.,19, No. 5–6 (1976).

  16. A. B. Mikhailovskii, Theory of Plasma Instabilities [in Russian], Vol. 1, Atomizdat, Moscow (1975).

    Google Scholar 

  17. L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Pergamon Press (1959).

  18. A. B. Ezerskii and M. I. Rabinovich, “Resonance interaction of acoustic and hydrodynamic waves in a Poiseuille flow,” in: Proc. II All-Union Symp. Phys. Acoust. ‘Hydrodyn.’ Phenomena and Optoacoustics [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  19. M. I. Rabinovich and V. P. Reutov, “Interaction of parameterically related waves in nonequilibrium media,” Izv. Vyssh. Uchebn. Zaved., Radiofiz.,16, No. 6 (1973).

  20. T. B. Benjamin, “The threefold classification of unstable disturbances in flexible surfaces bounding inviscid flows,” J. Fluid Mech.,16, No. 3 (1963).

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  1. Gor'kii

    V. P. Reutov

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  1. V. P. Reutov
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 43–54, July–August, 1982.

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Reutov, V.P. Nonstationary critical layer and nonlinear instability in a planar poiseuille flow. J Appl Mech Tech Phys 23, 502–512 (1982). https://doi.org/10.1007/BF00916714

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