Comment on "finding finite-time invariant manifolds in two-dimensional velocity fields" [chaos 10, 99 (2000)]

Chaos

Volumn 11, Issue 2, 2001, Pages 427-430

  Lapeyre, G ^a   Hua, B L ^a,b   Legras, B ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035377183     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1374241     Document Type: Article

References (13)

1. N. Malhotra and S. Wiggins, "Geometric structures, lobe dynamics and Lagrangian transport in flows with aperiodic time dependence, with applications to Rossby wave flow," J. Nonlinear Sci. 8, 401 (1998).
2. G. Haller, "Finding invariant manifolds in two-dimensional velocity fields," Chaos 10, 99 (2000).
3. K. P. Bowman, "Manifold geometry and mixing in observed atmospheric flows," J. Atmos. Sci. (to be published).
4. B. Joseph and B. Legras, "On the relation between kinematic boundaries, stirring and barriers," J. Atmos. Sci. (to be published).
5. A. Okubo, "Horizontal dispersion of floatable particles in the vicinity of velocity singularity such as convergences," Deep-Sea Res. Oceanogr. Abstr. 17, 445 (1970).
6. J. Weiss, "The dynamics of enstrophy transfer in two-dimensional hydrodynamics," Technical Report No. LJI-TN-121ss, La Jolla Inst., La Jolla, California, USA (1981).
7. C. Basdevant and T. Philipovitch. "On the validity of the 'Weiss criterion' in two-dimensional turbulence," Physica D 73, 17 (1994).
8. B. L. Hua and P. Klein, "An exact criterion for the stirring properties of nearly two-dimensional turbulence," Physica D 113, 98 (1998).
9. G. Lapeyre, P. Klein, and B. L. Hua, "Does the tracer gradient vector align with the strain eigenvectors in 2-D turbulence?," Phys. Fluids A 11, 3729 (1999).
10. A. E. H. Love, "On the stability of certain vortex motions," Proc. London Math. Soc. 35, 18 (1893).
11. S. Kida, "Motion of an elliptic vortex in a uniform shear flow," J. Phys. Soc. Jpn. 50, 3517 (1981).
12. L. M. Polvani and J. Wisdom, "Chaotic Lagrangian trajectories around an elliptical vortex patch embedded in a constant and uniform background shear flow," Phys. Fluids A 2, 123 (1990).
13. M. D. Dahleh, "The behavior of active and passive particles in a chaotic flow," in Topological Aspects of the Dynamics of Fluids and Plasmas, edited by H. K. Moffatt et al. (Kluwer Academic Publishers, 1492), pp. 505-515.