Electrodynamical instability of layered structures

Authors:
A. M. Blokhin and R. E. Semenko

Journal:
Quart. Appl. Math. **69** (2011), 651-676

MSC (2000):
Primary 35Q30, 83C22

Published electronically:
June 29, 2011

MathSciNet review:
2893994

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Abstract | References | Similar Articles | Additional Information

Abstract: We are concerned with a hydrodynamical model of layered structures at the presence of an electric current. We formulate a linearized stability problem for layered structures and prove that the solutions of this problem grow infinitely, which means the destruction of layered structures at the presence of the small-amplitude alternating electric current.

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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:
Novosibirsk State University, Novosibirsk, 630090, Russia

Email:
rsem86@mail.ru

DOI:
https://doi.org/10.1090/S0033-569X-2011-01225-7

Keywords:
Layered structures,
anisotropic dielectrics,
electrohydrodynamical approximaton,
electrodynamical instability.

Received by editor(s):
March 1, 2010

Published electronically:
June 29, 2011

Article copyright:
© Copyright 2011
Brown University

The copyright for this article reverts to public domain 28 years after publication.