Literature Cited
G. K. Batchelor, “Compression waves in a suspension of gas bubbles in a liquid,” Proc. 8th Symp. on Advanced Problems and Methods in Fluid Dynamics, Tarda (Poland) 1967.
L. Van Wijngaarden, “On the equations of motion for mixtures of liquid and gas bubbles,” J. Fluid Mech.,33, No. 3 (1968).
V. I. Karpman, Nonlinear Waves in Dispersive Media [in Russian] Izd. Novosibirsk. Gos. Universiteta, Novosibirsk (1968).
B. B. Kadomtsev and V. I. Karpman, “Nonlinear waves,” Usp. Fiz. Nauk,103, No. 2 (1971).
S. A. Zwick, “Behavior of small permanent gas bubbles in a liquid,” J. Math. and Phys.,37, No. 3, 246 (1958);38, No. 4, 339 (1959).
C. Devin, “Survey of thermal, radiation, and viscous damping of pulsating air bubbles in water,” J. Acoust. Soc. America,31, No. 12 (1959).
N. I. Zabusky and M. D. Kruskal, “Interaction of ‘solitons’ in a collisionless plasma and the recurrence of initial states,” Phys. Rev. Letters,15, No. 6 (1965).
Yu. A. Berezin and V. I. Karpman, “Nonlinear evolution of disturbances in plasmas and other dispersive media,” Zh. Experim. i Teoret. Fiz.,51, 1557 (1966).
H. Schlichting, Boundary Layer Theory, McGraw-Hill (1966).
L. Van Wijngaarden, “On the structure of shock waves in liquid-bubble mixtures,” Appl. Sci. Res.,22, No. 5, 366–381 (1970).
R. Z. Sagdeev, “Fine structure of shock front propagating across a magnetic field in a rarefied plasma,” Zh. Tekh. Fiz.,31, No. 10 (1961).
Additional information
Novosibirsk. Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 71–76, September–October, 1972.
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Nakoryakov, V.E., Sobolev, V.V. & Shreiber, I.R. Longwave perturbations in a gas-liquid mixture. Fluid Dyn 7, 763–768 (1972). https://doi.org/10.1007/BF01205753
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DOI: https://doi.org/10.1007/BF01205753