INVESTIGATION OF THE PROBLEM OF PLANE STRATIFIED FLOW AROUND A BODY

The problem of plane arbitrarily stratified flow of finite thickness a round a body is considered in the linearized formulation. A theorem of Tikhonov and Samarskii [1] on the uniqueness of the solution of the e xternal Dirichlet problem for the Helmholtz equation in the plane case is extended to asymmetrical radiation conditions and this is used to investigate the nature of the non-uniqueness of the solution of the li nearized problem of the flow around the body. The existence of a solut ion is investigated by potential-theory methods. The ''dipole approxim ations'' of the solution of the flow problem when the radiation coeffi cient approaches zero are proved.