There are two stable patterns of flow for the Kuroshio south of Japan: (i) flow along the continental slope, all the way east to the Izu-Ogasawara Ridge; and (ii) a southeastward meander away from the continental slope south of Shikoku, out over deep water. We have modeled the Ku.roshio as a steady free inertial jet that extends to the bottom over at least a portion of its path....
Robinson, A. R., and B. A. Taft. 1972. "A numerical experiment for the path of the Kuroshio." Journal of Marine Research 30, (1). https://elischolar.library.yale.edu/journal_of_marine_research/1229