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On the Theory of Three-dimensional Flow about a Ship Moving with Constant Speed in a Regular Sea
註釋The study presents a new integral identity for the velocity potential of three-dimensional flow about a ship moving with constant speed in regular waves. This integral identity is valid outside, inside, and exactly on the surface of the ship, and is equivalent to the set of three classical identities valid strictly outside, inside, and on the ship's surface, respectively. For the usual problem of ship motions in a regular sea, the integral identity obtained in this study yields an integro-differential equation for determining the velocity potential on the ship's surface. A recurrence relation for solving the proposed new integro-differential equation is presented. (Author).