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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 379, Pages 47–66
(Mi znsl3837)
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This article is cited in 1 scientific paper (total in 1 paper)
Point source waves near the interface between elastic and liquid media
N. Ya. Kirpichnikova St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
Combined surface waves are under consideration, they can be presented as a combination of whispering gallery waves (concentrated near the boundary in the layer of width $O(\omega^{-2/3})$ for $\omega\to\infty$, where $\omega$ is a frequency) and standard surface waves (exponentially decaying moving away from the interface boundary with parameter proportional to $\omega$), or waves oscillating when going away from the boundary. Those waves are obtained near the boundary $z=0$ of inhomogeneous elastic medium $z>0$ (propagation velocities $a(z)$ and $b(z)$) and inhomogeneous liquid (velocity in the liquid is $a_0(z)$). In the latter case there are wave fields propagating with phase velocity close to the velocities of Stonely and Rayleigh, and also close to velocities $a_0$, $b$ and $a$ on the interface boundary. Bibl. 10 titles.
Key words and phrases:
asymptotic, boundary surface layer, combined surface waves, elastic, liquid media, interface, phase velocity.
Received: 25.09.2010
Citation:
N. Ya. Kirpichnikova, “Point source waves near the interface between elastic and liquid media”, Mathematical problems in the theory of wave propagation. Part 39, Zap. Nauchn. Sem. POMI, 379, POMI, St. Petersburg, 2010, 47–66; J. Math. Sci. (N. Y.), 173:3 (2011), 267–277
Linking options:
https://www.mathnet.ru/eng/znsl3837 https://www.mathnet.ru/eng/znsl/v379/p47
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Abstract page: | 217 | Full-text PDF : | 71 | References: | 41 |
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