Abstract

We discuss existence, uniqueness and regularity of the solution of the plane Neumann–Kelvin problem in a strip, in the case of a beam. The problem is obtained by linearization of the equations of the wave-resistance problem for a “slender” cylinder semisubmerged in a heavy fluid and moving at uniform, supercritical speed in the direction orthogonal to its generators. The results obtained may be relevant for the resolution of the nonlinear wave-resistance problem.

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