On ship waves

In the first part of the paper asymptotic representations at infinity of the Green function, of the velocity potential and of the elevation of the free surface are obtained for the linear problem of the uniform motion of a pointwise source in a fluid. The advantage of these representations is that t...

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Bibliographic Details
Published in:Wave motion 1993, Vol.18 (1), p.31-50
Main Authors: Maz'ya, V.G., Vainberg, B.R.
Format: Article
Language:English
Subjects:
Earth, ocean, space
Exact sciences and technology
External geophysics
Physics of the oceans
Surface waves, tides and sea level. Seiches
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Summary:In the first part of the paper asymptotic representations at infinity of the Green function, of the velocity potential and of the elevation of the free surface are obtained for the linear problem of the uniform motion of a pointwise source in a fluid. The advantage of these representations is that they are uniform with respect to all directions and depth. This uniformity is achieved due to singling out an additional wave going to infinity along the track of the source. In the second part it is proved that the problem of the uniform motion of a submerged body is solvable for all velocities except, possibly, for a finite number.
ISSN:0165-2125
1878-433X
DOI:10.1016/0165-2125(93)90059-O