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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 461, Pages 195–211 (Mi znsl6488)  
This article is cited in 1 scientific paper (total in 1 paper)

Wave field near a narrow convex impedance cone completely illuminated by a plane incident wave

M. A. Lyalinova, S. V. Polianskayab

a St. Petersburg State University, St. Petersburg, Russia
b North-West Institute of Management, St. Petersburg, Russia
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Abstract: An acoustic incident plane wave completely illuminates a narrow convex cone with impedance boundary condition on its surface. The wave field at far distances from the vertex of the cone and in some close neighbourhood of the cone's surface is asymptotically computed.
Key words and phrases: impedance narrow cone, scattered wave field near the surface.
Funding agency Grant number
Russian Science Foundation 17-11-01126
Received: 17.10.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 5, Pages 689–700
DOI: https://doi.org/10.1007/s10958-019-04267-0
Document Type: Article
UDC: 517
Language: Russian
Citation: M. A. Lyalinov, S. V. Polianskaya, “Wave field near a narrow convex impedance cone completely illuminated by a plane incident wave”, Mathematical problems in the theory of wave propagation. Part 47, Zap. Nauchn. Sem. POMI, 461, POMI, St. Petersburg, 2017, 195–211; J. Math. Sci. (N. Y.), 238:5 (2019), 689–700
Citation in format AMSBIB
\Bibitem{LyaPol17}
\by M.~A.~Lyalinov, S.~V.~Polianskaya
\paper Wave field near a~narrow convex impedance cone completely illuminated by a~plane incident wave
\inbook Mathematical problems in the theory of wave propagation. Part~47
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 461
\pages 195--211
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6488}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 5
\pages 689--700
\crossref{https://doi.org/10.1007/s10958-019-04267-0}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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