A shallow-water theory for annular sections of Keplerian Disks

A scaling argument is presented that leads to a shallow water theory of nnon-axisymmetric disturbances in annular sections of thin Keplerian disks. To ndevelop a theoretical construction that will aid in physically understanding nthe relationship of known two-dimensional vortex dynamics to their nthree-dimensional counterparts in Keplerian disks. Using asymptotic sca..