Document Type

Article

Publication Date

1998

Publication Title

Nonlinear Processes in Geophysics

Volume

5

Issue

3

Pages

145-151

Abstract

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.

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