On unique solvability of the plane Neumann–Kelvin problem

Well-posed formulations of the plane Neumann–Kelvin problem are found. This linear boundary value problem describes the steady-state motion of a semisubmerged cylinder in an ideal, incompressible, heavy fluid. Theorems on unique solvability for arbitrary speed of the motion of the cylinder are proved for the formulations found.
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Bibliography: 15 titles.