On the stability of shock waves in layered structures at the presence of the electric current
Authors:
A. M. Blokhin and R. E. Semenko
Journal:
Quart. Appl. Math. 67 (2009), 441475
MSC (2000):
Primary 35Q30, 83C22
Published electronically:
May 6, 2009
MathSciNet review:
2547635
Fulltext PDF
Abstract 
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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 illposedness, which means instability of shock waves for the given model of layered structures.
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 2.
 Dorovsky V.N., Belonosov V.S., Belonosov A.S. Numerical investigation of parametric resonance in wateroil structures containing gas. Math. Comput. Mod., 2002, v. 36, pp. 203209. MR 1925071
 3.
 Gogosov V.V, Polansky V.A. Electrohydrodynamics: Problem and applications, fundamental equations, discontinuous solutions. Fluid mechanics (Science and technique resume), 1976, 10, pp. 585 (Russian).
 4.
 Dorovsky S.V., Dorovsky V.N. Possibility of electrometry at the investigation on stability of shock waves in layered structures. Geology and Geophysics, 2006, v. 47(7), pp. 892901 (Russian).
 5.
 Dorovsky S.V., Dorovsky V.N., Blokhin A.M. Possibility of the methods of electrometry at the investigation on stability of shock waves in layered structures. Geology and Geophysics, v. 47, pp. 11851191 (Russian).
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 Blokhin A.M., Dorovsky V.N. Problems of the mathematical simulation in theory of the multivelocity continuum. RAS, Sib. Division., United Inst. of Geology, Geophysics and Mineralogy, Inst. of Math., Novosibirsk, 1994 (Russian).
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Additional Information
A. M. Blokhin
Affiliation:
Institute of Mathematics, Novosibirsk State University, Novosibirsk, 630090, Russia
Email:
blokhin@math.nsc.ru
R. E. Semenko
Affiliation:
Novosibisk State University, Novosibirsk, 630090, Russia
Email:
rsem86@mail.ru
DOI:
http://dx.doi.org/10.1090/S0033569X09011554
PII:
S 0033569X(09)011554
Keywords:
Layered structures,
anisotropic dielectrics,
electrohydrodynamical approximaton,
linear problem,
shock waves.
Received by editor(s):
February 12, 2008
Published electronically:
May 6, 2009
Article copyright:
© Copyright 2009 Brown University
The copyright for this article reverts to public domain 28 years after publication.
