Particle motion in vorticity-conserving, two-dimensional incompressible flows
- 1 September 1994
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 6 (9) , 2875-2876
- https://doi.org/10.1063/1.868112
Abstract
It is shown that particle motion is integrable in any vorticity‐conserving, two‐dimensional incompressible flow if the vorticity is a differentiable function whose gradient never vanishes. More generally, the result is true if any Lagrangian invariant replaces the vorticity.Keywords
This publication has 12 references indexed in Scilit:
- Chaotic transport by Rossby waves in shear flowPhysics of Fluids A: Fluid Dynamics, 1993
- Chaotic mixing of tracer and vorticity by modulated travelling Rossby wavesGeophysical & Astrophysical Fluid Dynamics, 1991
- Mathematical Methods of Classical MechanicsPublished by Springer Nature ,1989
- Stirred but not mixedNature, 1988
- Experimental study of Lagrangian turbulence in a Stokes flowProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1986
- Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector FieldsJournal of Applied Mechanics, 1984
- Stirring by chaotic advectionJournal of Fluid Mechanics, 1984
- Regular and Stochastic MotionPublished by Springer Nature ,1983
- Integrable, Chaotic, and Turbulent Vortex Motion in Two-Dimensional FlowsAnnual Review of Fluid Mechanics, 1983
- Stable and Random Motions in Dynamical SystemsPhysics Today, 1975