In this paper it is shown numerically that axially-symmetric solutions of the Navier-Stokes equations, which describe the rotating flow above a disk which is itself rotating, are non-unique. The numerical techniques designed to calculate such solutions with a high power of resolution are given. Especially the behaviour in and around the first branching point is considered. It is found that fors=−0.16054 two branches coincide. The second branch has been almost completely calculated. It ranges back to positive values ofs.
Dijkstra, D., & Zandbergen, P. J. (1977). Non-unique solutions of the Navier-Stokes equations for the Karman swirling flow. Journal of engineering mathematics, 11(2), 167-188. https://doi.org/10.1007/BF01535696