Articles | Volume 5, issue 3
Nonlin. Processes Geophys., 5, 145–151, 1998
https://doi.org/10.5194/npg-5-145-1998
Nonlin. Processes Geophys., 5, 145–151, 1998
https://doi.org/10.5194/npg-5-145-1998

  30 Sep 1998

30 Sep 1998

Integrable unsteady motion with an application to ocean eddies

A. D. Kirwan, Jr. and B. L. Lipphardt, Jr. A. D. Kirwan, Jr. and B. L. Lipphardt, Jr.
  • 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.

Download