A. M. Blokhin, R. E. Semenko, “On the Stability of the Shock Waves at the Presence of the Electric Current”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2008, Volume 8, Issue 3,Pages <nobr>26

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On the Stability of the Shock Waves at the Presence of the Electric Current

A. M. Blokhin^a, R. E. Semenko^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: 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.

UDC: 517.9563

Received: 13.11.2007