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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 75–92 (Mi znsl986)  
This article is cited in 11 scientific papers (total in 11 papers)

Diffraction of creeping waves from a line of a saltus of a curvature (Acoustic three-dimensional medium)

N. Ya. Kirpichnikovaa, V. B. Philippovba, A. S. Kirpichnikovaa

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (221 kB) Citations (11)
Abstract: The problem of a diffraction of a creeping waves from a line of a rupture of a curvature is investigated, and the “oblique” falling in a three-dimensional acoustic medium is taken into account essentially. Two cases of a rupture of a curvature on a line of interface of surfaces are considered: a curvature of one sign, but different on magnitude, and case of a positive curvature conjugate on a line of a rupture with zero.
Received: 12.10.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 5, Pages 689–702
DOI: https://doi.org/10.1023/A:1013247112086
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. Ya. Kirpichnikova, V. B. Philippov, A. S. Kirpichnikova, “Diffraction of creeping waves from a line of a saltus of a curvature (Acoustic three-dimensional medium)”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 75–92; J. Math. Sci. (New York), 108:5 (2002), 689–702
Citation in format AMSBIB
\Bibitem{KirPhiKir99}
\by N.~Ya.~Kirpichnikova, V.~B.~Philippov, A.~S.~Kirpichnikova
\paper Diffraction of creeping waves from a line of a~saltus of a~curvature (Acoustic three-dimensional medium)
\inbook Mathematical problems in the theory of wave propagation. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 257
\pages 75--92
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl986}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754693}
\zmath{https://zbmath.org/?q=an:1071.76570}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 5
\pages 689--702
\crossref{https://doi.org/10.1023/A:1013247112086}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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