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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 332, Pages 38–47 (Mi znsl260)  
Waves produced by sources on expanding disk

V. V. Borisov

Saint-Petersburg State University
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Abstract: The explicit solutions of the inhomogeneous wave equation are constructed. The solutions obtained describe waves generated by a source distribution of a disk that expands with velocities less, equal, or greater than the wave-front velocity. The structure and directional transmission waves are discussed. Possibility of an application of the scalar solutions to electromagnetic waves is shown. Bibliography: 8 titles.
Received: 18.04.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 6, Pages 2540–2545
DOI: https://doi.org/10.1007/s10958-007-0141-2
Bibliographic databases:
UDC: 538.3:621.396
Language: Russian
Citation: V. V. Borisov, “Waves produced by sources on expanding disk”, Mathematical problems in the theory of wave propagation. Part 35, Zap. Nauchn. Sem. POMI, 332, POMI, St. Petersburg, 2006, 38–47; J. Math. Sci. (N. Y.), 142:6 (2007), 2540–2545
Citation in format AMSBIB
\Bibitem{Bor06}
\by V.~V.~Borisov
\paper Waves produced by sources on expanding disk
\inbook Mathematical problems in the theory of wave propagation. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 332
\pages 38--47
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl260}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2252985}
\zmath{https://zbmath.org/?q=an:1102.35343}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 142
\issue 6
\pages 2540--2545
\crossref{https://doi.org/10.1007/s10958-007-0141-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34247263287}
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