Eulerian diagnostics for Lagrangian chaos in three-dimensional Navier-Stokes flows

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 1, 1998, Pages 482-490

  Yannacopoulos, A N ^a   Mezic I ^b   Rowlands, G ^a   King, G P ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001733879     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.482     Document Type: Article

References (24)

1. H. Aref, J. Fluid Mech. 143, 1 (1984).
2. J. Ottino, The Kinematics of Mixing: Stretching, Chaos and Transport (Cambridge University Press, Cambridge, 1989).
3. S. Wiggins, Chaotic Transport in Dynamical Systems (Springer-Verlag, New York, 1992).
4. M. Feingold, L. P. Kadanoff, and O. Piro, J. Stat. Phys. 50, 529 (1988)
5. K. Bajer and H. Moffatt, J. Fluid Mech. 212, 337 (1990).
6. H. A. Stone, A. Nadim, and S. Strogatz, J. Fluid Mech. 232, 629 (1991).
7. D. D. Holm and Y. Kimura, Phys. Fluids A 3, 1033 (1991)
8. R. S. MacKay, J. Nonlinear Sci. 4, 329 (1993)
9. S. W. Jones and W. R. Young, J. Fluid Mech. 280, 149 (1994).
10. I. Mezić, Ph.D. thesis, California Institute of Technology, 1994.
11. I. Mezić and S. Wiggins, J. Nonlinear Sci. 4, 157 (1994)
12. I. Mezić, A. Leonard, and S. Wiggins, Physica D (to be published).
13. P. Ashwin and G. P. King, J. Fluid Mech. 285, 215 (1995).
14. P. Ashwin, G. W. Mann, and G. P. King, Phys. Rev. Lett. 75, 4610 (1995)
15. P. Ashwin and G. P. King, J. Fluid Mech. 338, 341 (1997).
16. V. I. Arnold, Ann. Inst. Fourier 16, 316 (1966).
17. C. Truesdell, The Kinematics of Vorticity (Indiana University Press, Bloomington, IN, 1954).
18. V. V. Kozlov, Russ. J. Math. Phys. 1, 57 (1993).
19. G. Sposito, Int. J. Eng. Sci. 35, 197 (1997)
20. A. Davey, R. DiPrima, and J. Stuart, J. Fluid Mech. 31, 17 (1968).
21. R. DiPrima and J. Stuart, J. Fluid Mech. 67, 85 (1975).
22. V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer-Verlag, New York, 1978).
23. T. Dombre, J. Fluid Mech. 167, 353 (1986).
24. G. Haller and I. Mezić, Nonlinearity (to be published).