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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 288–297
(Mi znsl1009)
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This article is cited in 1 scientific paper (total in 1 paper)
An asymptotic solution of the problem of the moving with acceleration source of high frequency oscillations in nonhomogeneous media
A. S. Starkov Saint-Petersburg State University
Abstract:
The problem of the moving source wave field is considered in nonhomogeneous media. It is supposed that velocity of the source is less than the sound velocity for $t<0$ and greater this one for $t>0$ (subsonic – supersonic transition). An asymptotic expansion for the wave field in an neighborhood of the source is constructed on the basis of well known Hadamard's Anzatz. The derived expansion is uniform with respect to the velocity of the source and contains new special functions. These functions are generalization of Hankel and Bessel functions and possess some remarkable properties.
Received: 05.11.1998
Citation:
A. S. Starkov, “An asymptotic solution of the problem of the moving with acceleration source of high frequency oscillations in nonhomogeneous media”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 288–297; J. Math. Sci. (New York), 108:5 (2002), 851–858
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https://www.mathnet.ru/eng/znsl1009 https://www.mathnet.ru/eng/znsl/v257/p288
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Abstract page: | 137 | Full-text PDF : | 39 |
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