ABSTRACT
This chapter describes two-dimensional stationary boundary layer problems. The methods used for the investigation of various problems for the Prandtl system are based on the von Mises transformation which reduces the boundary layer system to a single quasilinear parabolic equation. The chapter examines such questions as the existence and uniqueness of solutions for the main boundary value problems for the Prandtl system of equations, the stability of these solutions and their asymptotic behavior with respect to different variables. It explores some results from the theory of the three-dimensional boundary layer and a short bibliographical review. The flow in a three-dimensional boundary layer has a much more complicated structure than in the two-dimensional case. The streamlines of the outer flow may become curved on the wall of the body.
