ABSTRACT
In order to find the characteristics of a flow past a body without separation, it is convenient to model the vortex layer next to the body by closed quadrangles and vortex frames. The intensity of these vortex formations coincides with the density of the double layer potential on the surface of the body for which the values of the potential outside the body are the same as in the case of a perturbed flow (see Sedov (1973)). Thus we come to the problem of finding the potential outside a body in terms of its normal derivative and the density of the double layer potential. This chapter is dedicated to the theory of the Neumann problem and the corresponding integral equations with the double layer potential.
