Impact of a slender torus on the surface of an ideal fluid of infinite depth. (Q1569387)

In this paper author construct the asymptotics of a slender torus on the basis of boundary integral equations. Has been determined the asymptotics for the solutions to integral equations, for the potentials of translational and rotational motion of a torus, and for added masses of a fluid and the moment of inertia. An asymptotic formula is obtained for determining the radius of a circle on the plane of variables \(xy\) that surrounds the region of a non-separated impact. Conclusions are made that are permanent to any tori.