Nonlinear Processes in Geophysics
Application of the Brown-Samelson theorem, which shows that particle motion is integrable in a class of vorticity-conserving, two-dimensional incompressible hows, is extended here to a class of explicit time dependent dynamically balanced flows in multilayered systems. Particle motion for nonsteady two-dimensional flows with discontinuities in the vorticity or potential vorticity fields (modon solutions) is shown to be integrable. An example of a two-layer modon solution constrained by observations of a Gulf Stream ring system is discussed.
Original Publication Citation
Kirwan, A. D., & Lipphardt, B. L. (1998). Integrable unsteady motion with an application to ocean eddies. Nonlinear Processes in Geophysics, 5(3), 145-151.
Kirwan, A. D. Jr. and Lipphardt, Bruce L., "Integrable Unsteady Motion With an Application to Ocean Eddies" (1998). CCPO Publications. 195.