The problem of a body in the plane stratified flow

A problem of body flow around by a plane arbitrarily stratified flow of a finite thickness is considered in a linearized positing. The Tikhonov and Samarskij theorem on the uniqueness of solution of the Dirichlet external problem for the Helmholtz equation in a plane case is spread on the nonsymmetrical conditions of radiation. By means of the theorem is studied the character of non of the solution of the linearized problem on the body flow around. Solution existence is investigated by the potential theory methods.