Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2015-4pp.374-387

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S.A. Nazarov, "Near-threshold effects of the scattering of waves in a distorted elastic two-dimensional waveguide," J. Appl. Math. Mech. 79 (4), 374-387 (2015)
Year 2015 Volume 79 Issue 4 Pages 374-387
DOI 10.1016/j.jappmathmech.2016.01.008
Title Near-threshold effects of the scattering of waves in a distorted elastic two-dimensional waveguide
Author(s) S.A. Nazarov (St Petersburg State University, St Petersburg Polytechnical State University, Institute of Mechanical Engineering Problems of the Russian Academy of Sciences, St Petersburg, Russia, srgnazarov@yahoo.co.uk)
Abstract Near-threshold effects of the almost total reflection or transmission of elastic waves in a two-dimensional strip-waveguide with a locally perturbed rigidly clamped surface are described using an asymptotic analysis. The quantitative characteristics of the scattering depend on a unitary and symmetric scattering matrix at the threshold and, in particular, are determined by the presence or absence of bounded solutions at the cutoff frequency.
Received 27 April 2014
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