Abstract
Near-critical behavior of the free surface of a perfectly conducting liquid in an external electric field is considered. Based on an analysis of three-wave processes using the method of integral estimates, sufficient criteria for hard instability of a planar surface are formulated. It is shown that the higher-order nonlinearities do not saturate the instability, for which reason the growth of disturbances has an explosive character.
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 71, No. 7, 2001, pp. 21–29.
Original Russian Text Copyright © 2001 by Zubarev, Zubareva.
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Zubarev, N.M., Zubareva, O.V. Dynamics of the free surface of a conducting liquid in a near-critical electric field. Tech. Phys. 46, 806–814 (2001). https://doi.org/10.1134/1.1387535
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DOI: https://doi.org/10.1134/1.1387535