Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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
DOI: https://doi.org/10.1090/S0033-569X-2011-01225-7
Published electronically: June 29, 2011
MathSciNet review: 2893994
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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.

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