Formation of the Boundary Layer in the Neighborhood of the Rear Point

We consider an initial-boundary problem for the non-stationary Prandtl system, describing the process of development of the two-dimensional boundary layer in the vicinity of the rear point of a symmetric body. Using methods developed by O. A. Oleynik, we prove that the problem we pose has a unique solution. We also obtain estimates that can characterize the qualitative behavior and asymptotics of the solution.