Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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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), 441-475
MSC (2000): Primary 35Q30, 83C22
DOI: https://doi.org/10.1090/S0033-569X-09-01155-4
Published electronically: May 6, 2009
MathSciNet review: 2547635
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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 ill-posedness, which means instability of shock waves for the given model of layered structures.


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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: https://doi.org/10.1090/S0033-569X-09-01155-4
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.

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