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

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.