3D-Problem of Wave Motion in a Fluid Around a Cone

Bestuzheva A.N.

Stationary wave motion of an ideal non-compressible fluid in a domain limited by a free surface and an ‎infinite cone with the vertex on a free surface is considered. Wave motion is caused by the bottom move-‎ment. The problem is set for the velocity potential within the framework of the linear dispersion theory. ‎By means of integral transforms the solution of the problem is reduced to a functional equation which ‎has a solution in the particular cases. In assumption of smallness of angle between liquid free surface and ‎cone surface analytic solution of the problem which contains dependencies from inclination angle is ‎made.

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