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POINT SOURCE WAVES NEAR THE INTERFACE BETWEEN ELASTIC AND LIQUID MEDIA

机译:点源位于弹性和液体介质之间的界面附近

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摘要

Combined surface waves are under consideration; they can be represented as a combination of whispering gallery waves (concentrated near the boundary in a layer of width O(ω~(-2/3)) as ω→∞, where ω is the frequency) and standard surface waves (exponentially decaying with distance from the interface with exponent proportional to ω), or waves oscillating with distance from the boundary. Those waves are obtained near the boundary z = 0 of an inhomogeneous elastic medium z > 0 (propagation velocities a(z) and b(z)) and an inhomogeneous liquid (the velocity in the liquid is ao(z)). In the latter case, there are wave fields propagating with phase velocity close to the velocities of Stonely and Rayleigh waves, and also close to the velocities ao, b, and a on the interface. Bibliography: 10 titles.
机译:正在考虑合并的表面波;它们可以表示为回音壁波(集中在边界O处的宽度O(ω〜(-2/3)内)为ω→∞,其中ω为频率)和标准表面波(指数衰减)的组合距界面的距离与ω成正比,或者波与边界的距离成正比。这些波是在非均质弹性介质z> 0(传播速度a(z)和b(z))和非均质液体(液体中的速度为ao(z))的边界z = 0附近获得的。在后一种情况下,波场以相速度传播,接近斯通利波和瑞利波的速度,并且也接近界面上的速度ao,b和a。参考书目:10种。

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  • 来源
    《Journal of Mathematical Sciences》 |2011年第3期|p.267-277|共11页
  • 作者

    N. Ya. Kirpichnikova;

  • 作者单位

    St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia;

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  • 正文语种 eng
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