Abstract: | Asymptotic equations describing the unsteady free interaction of a three-dimensional boundary layer with an exterior flow are derived. The orders of the independent variables and perturbations of the flow parameters are chosen in such a way that the pressure gradient that occurs in the equation of the wall layer is due to the displacement of streamlines situated near the surface of the body. The Fourier method is used to construct a solution to the linearized problem. A class of perturbations satisfying homogeneous boundary conditions on the surface of the body is found. |