www.nonlin-processes-geophys.net/5/145/1998/ © Author(s) 1998. This work is licensed under a Creative Commons License. Integrable unsteady motion with an application to ocean eddies Center for Coastal Physical Oceanography, Old Dominion University, Norfolk, VA 23529, USA Abstract. Application of the Brown-Samelson theorem, which shows that particle motion is integrable in a class of vorticity-conserving, two-dimensional incompressible flows, 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. Full Article (PDF, 8529 KB) Citation: Kirwan, Jr., A. D. and Lipphardt, Jr., B. L.: Integrable unsteady motion with an application to ocean eddies, Nonlin. Processes Geophys., 5, 145-151, 1998. Bibtex EndNote Reference Manager |
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