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  1. 2 Archives of Mechanics
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  1. 2 Popov I. Yu
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  1. 1 2003
  2. 1 2001
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Content available remote "Bottom crystal" and possibility of water wave attenuation
Popov I. Yu
Archives of Mechanics
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2003
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Vol. 55, nr 2
221-232
EN
The influence of periodic bottom structure ("bottom crystal'') on surface water waves is considered. The problem reduces to a two-dimensional Helmholtz operator with periodic potential. Zero-range potential method based on the theory of self-adjoint extensions of symmetric operators is used. It is shown that there is a gap in the spectrum. An application of this spectral property to the problem of wave attenuation is discussed.
2
Content available remote Suction through point-like opening and stability of boundary layer
Popov I. Yu
Archives of Mechanics
|
2001
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Vol. 53, nr 3
205-218
EN
A model of boundary layer suction through small opening is suggested. A procedure of neutral curve construction is described. The dependence of the shift of neutral curves on the intensity of suction and on the position of the opening is studied.
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