Geodesic
Stability of the Layered Systems at the Presence of the Electric Current
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 24-34

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In the works [1; 2] the system of hydrodynamical equations for water-oil layered structures with electric current at the presence of the volume charges has been received. Also in this works was discussed a receiving of more simple mathematical model of layered structures in the electrohydrodynamical approximation. The problem of the possible organization of the parametrical instability was discussed in [3; 4]. The main goal of this work is studying of the simple electrohydrodynamical instability in layered structures at the presence of the alternating current with enough small amplitude. This work is a continuation of the works [1; 2]. 
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     author = {A. M. Blokhin and R. E. Semenko},
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A. M. Blokhin; R. E. Semenko. Stability of the Layered Systems at the Presence of the Electric Current. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 9 (2009) no. 1, pp. 24-34. http://geodesic.mathdoc.fr/item/VNGU_2009_9_1_a1/