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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 71–78 (Mi znsl446)  
High frequency wave field of the source moving in the wavequide

V. S. Buldyreva, A. V. Sokolova, A. S. Starkovb

a Saint-Petersburg State University
b St. Peterburg State Academy of Cool and Food Tecnologes
Full-text PDF (160 kB)
Abstract: The problem of the moving source wave field is considered in the regular waveguide with perfectly reflected boundaries. It is supposed that the acceleration of the source is small. The asymptotics of acoustical field is constructed in the special moving coordynate system. It is shown, that in the case when Doppler frequency of the source is equal to the critical frequency of mode under consideration this asymptotics is invalid. New asymptotics in the neighbourhood of such critical cross-section is constructed.
Received: 15.11.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3327–3331
DOI: https://doi.org/10.1007/BF02172808
Bibliographic databases:
UDC: 534.26
Language: Russian
Citation: V. S. Buldyrev, A. V. Sokolov, A. S. Starkov, “High frequency wave field of the source moving in the wavequide”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 71–78; J. Math. Sci. (New York), 96:4 (1999), 3327–3331
Citation in format AMSBIB
\Bibitem{BulSokSta97}
\by V.~S.~Buldyrev, A.~V.~Sokolov, A.~S.~Starkov
\paper High frequency wave field of the source moving in the wavequide
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 71--78
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl446}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700641}
\zmath{https://zbmath.org/?q=an:0936.76077}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3327--3331
\crossref{https://doi.org/10.1007/BF02172808}
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