Geodesic
Stability of a conducting liquid film flowing down in a variable electric field
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2017), pp. 47-53

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In the paper we consider the thin conducting viscous liquid film flow down along one of the plates of a capacitor connected to an AC power supply. It is shown that the presence of the electric field leads to the destabilization of the flow; moreover, the parametric resonance of capillary waves is observed. 
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     author = {E. I. Mogilevskii and V. Ya. Shkadov},
     title = {Stability of a conducting liquid film flowing down in a variable electric field},
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     pages = {47--53},
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E. I. Mogilevskii; V. Ya. Shkadov. Stability of a conducting liquid film flowing down in a variable electric field. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2017), pp. 47-53. http://geodesic.mathdoc.fr/item/VMUMM_2017_1_a7/