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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 471, Pages 113–123 (Mi znsl6628)  
This article is cited in 2 scientific papers (total in 2 papers)

High-frequency diffraction by a contour with a jump of curvature. Limit ray

E. A. Zlobinaa, A. P. Kiselevab

a St. Petersburg State University, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (202 kB) Citations (2)
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Abstract: High-frequency diffraction by a contour with a jump of curvature is addressed. Outgoing wavefield at the limit ray is studied.
Key words and phrases: diffraction, nonsmoof obstacles, high-frequency asymptotic, boundary layer approach, limit ray, the Helmholtz equation, ray method.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00529
Received: 01.11.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 5, Pages 707–714
DOI: https://doi.org/10.1007/s10958-019-04572-8
Bibliographic databases:
UDC: 517.9+534.26+537.874.6
Language: Russian
Citation: E. A. Zlobina, A. P. Kiselev, “High-frequency diffraction by a contour with a jump of curvature. Limit ray”, Mathematical problems in the theory of wave propagation. Part 48, Zap. Nauchn. Sem. POMI, 471, POMI, St. Petersburg, 2018, 113–123; J. Math. Sci. (N. Y.), 243:5 (2019), 707–714
Citation in format AMSBIB
\Bibitem{ZloKis18}
\by E.~A.~Zlobina, A.~P.~Kiselev
\paper High-frequency diffraction by a~contour with a~jump of curvature. Limit ray
\inbook Mathematical problems in the theory of wave propagation. Part~48
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 471
\pages 113--123
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6628}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 5
\pages 707--714
\crossref{https://doi.org/10.1007/s10958-019-04572-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075130156}
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  • https://www.mathnet.ru/eng/znsl/v471/p113
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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