On the swirling flow between rotating coaxial disks

A system of ordinary differential equations which describe the steady flow of a Navier-Stokes fluid is considered. The fluid is contained between two parallel, infinite, plane disks. The disks are rotating about a common axis with constant angular velocities. A proof is provided concerning the existence of a solution of the differential equations for the case in which the larger angular velocity is less than a constant C, roughly equal to 1.5. A solution exists also if the disks rotate in the same direction and the difference of the squares of the angular velocities is less than the square of C.