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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 250, Pages 274–287 (Mi znsl655)  
This article is cited in 8 scientific papers (total in 8 papers)

The edge wave in the problem of diffraction from the curvature jump on the boundary of the region

V. B. Philippov, N. Ya. Kirpichnikova

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (201 kB) Citations (8)
Abstract: A problem of the diffraction of the creeping waves over-running from the side of the convex boundary to the point of the curvature jump – the point of transition of the convex boundary into the straight boundary is studied. On passing throught the point of the curvature jump, the tangent to the region boundary is changed continiously, but the velocity of this change has the jump. The edge wave is received and investigated.
Received: 07.10.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 102, Issue 4, Pages 4312–4320
DOI: https://doi.org/10.1007/BF02673861
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: V. B. Philippov, N. Ya. Kirpichnikova, “The edge wave in the problem of diffraction from the curvature jump on the boundary of the region”, Mathematical problems in the theory of wave propagation. Part 27, Zap. Nauchn. Sem. POMI, 250, POMI, St. Petersburg, 1998, 274–287; J. Math. Sci. (New York), 102:4 (2000), 4312–4320
Citation in format AMSBIB
\Bibitem{PhiKir98}
\by V.~B.~Philippov, N.~Ya.~Kirpichnikova
\paper The edge wave in the problem of diffraction from the curvature jump on the boundary of the region
\inbook Mathematical problems in the theory of wave propagation. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 250
\pages 274--287
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl655}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1701871}
\zmath{https://zbmath.org/?q=an:0979.78016}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 102
\issue 4
\pages 4312--4320
\crossref{https://doi.org/10.1007/BF02673861}
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  • https://www.mathnet.ru/eng/znsl/v250/p274
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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