This is a preview of subscription content, log in via an institution to check access.
Literature cited
G. Schmidt, Parametric Oscillations [Russian translation], Mir, Moscow (1978).
M. Faraday, “On a peculiar class of acoustical figures, and on certain forms assumed by a group of particles upon vibrating elastic surfaces,” Philos. Trans. R. Soc.,121, 299 (1831).
L. D. Landau and E. M. Lifshitz, Mechanics, Pergamon (1975).
V. A. Yakubovich and V. M. Starzhinskii, Linear Differential Equations with Periodic Coefficients and Their Application [in Russian], Nauka, Moscow (1972).
N. N. Moiseev and V. V. Rumyantsev, Dynamics of a Body with Cavities Containing Liquids [in Russian], Nauka, Moscow (1965).
L. N. Sretenskii, Theory of Wave Motions of Fluids [in Russian], Nauka, Moscow (1977).
T. B. Benjamin and F. Ursell, “The stability of the plane free surface of a liquid in vertical motion,” Proc. R. Soc.,225, 505 (1954).
S. I. Krushinskaya, “Oscillations of a heavy viscous fluid in a moving vessel,” Zh. Vychisl. Mat. Mat. Fiz.,5, No. 3 (1965).
G. Z. Gershuni and E. M. Zhukovitskii, Convective Stability of an Incompressible Fluid [in Russian], Nauka, Moscow (1972).
G. S. Markman and A. L. Urintsev, “On the parametric excitation of convective motion in a fluid heated from above,” Izv. Sev. Kavkaz. Nauch. Tsentr. Vyssh. Shkol. Estestv. Nauka, No. 1 (1977).
E. N. Lorenz, “Barotropic instability of Rossby wave motion,” J. Atmos. Sci.,29, 258 (1972).
D. K. Lilly, “A note on barotropic instability and predictability,” J. Atmos. Sci.,30, No. 1 (1973).
R. P. Mied, “The instabilities of finite-amplitude barotropic Rossby waves,” J. Fluid Mech.,86, No. 2 (1978).
F. V. Dolzhanskii, M. V. Kurganskii, and Yu. L. Chernous'sko, “Laboratory and theoretical investigation of barotropic Rossby waves in a rotating annular channel,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana,15, No. 6 (1979).
A. D. McEwan and R. M. Robinson, “Parametric instability of internal gravity waves,” J. Fluid Mech.,67, No. 4 (1975).
R. P. Mied, “The occurrence of parametric instability of internal gravity waves,” J. Fluid Mech.,78, No. 4 (1976).
O. M. Phillips, Dynamics of the Upper Ocean, Cambridge Univ. Press (1980).
I. Orlanski, “On the breaking of standing internal gravity waves,” J. Fluid Mech.,54, No. 3 (1972).
E. T. Whittaker and G. N. Watson, Modern Analysis [in Russian], Vol. 1, FML, Moscow (1963).
M. Abramowitz and I. Stegan, Handbook on Special Functions [Russian translation], Nauka, Moscow (1979).
P. L. Kapitsa, “Dynamic stability of a pendulum with an oscillation point of suspension,” Zh. Eksp. Teor. Fiz.,21, No. 5 (1951).
V. A. Briksman, “Parametric stabilization of the fluid interface,” Dokl. Akad. Nauk SSSR,226, No. 5 (1976).
S. M. Zen'kovskaya and I. B. Simonenko, “On the influence of high-frequency vibrations on the origin of convection,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. Gaza, No. 5 (1966).
G. Batchelor, Introduction to the Dynamics of Fluids [Russian translation], Mir, Moscow (1973).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 168–174, November–December, 1981.
Rights and permissions
About this article
Cite this article
Vladimirov, V.A. Parametric resonance in a stratified fluid. J Appl Mech Tech Phys 22, 886–892 (1981). https://doi.org/10.1007/BF00906125
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00906125