On the Stability of the Shock Waves at the Presence of the Electric Current
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 3, pp. 26-50

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We are concerned with a hydrodynamical model of layered structures at the presence of the electric current. We formulate a linearized stability problem for shock waves and prove its ill-posedness that means instability of shock waves for the given model of layered structures.
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A. M. Blokhin; R. E. Semenko. On the Stability of the Shock Waves at the Presence of the Electric Current. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 8 (2008) no. 3, pp. 26-50. http://geodesic.mathdoc.fr/item/VNGU_2008_8_3_a1/