Uniqueness and solvability in the linearized two-dimensional problem of a body in a finite depth subcritical stream

Uniqueness and solvability theorems are proved for the two-dimensional Neumann-Kelvin problem in the case when a body is totally submerged in a subcritical stream of finite depth fluid. A version of source method is developed to find a solution. The Green's identity coupling the solution with a solution of the problem with opposite stream direction is used to prove that the solution is unique.