Measuring the mixing efficiency in a simple model of stirring:some analytical results and a quantitative study via Frequency Map Analysis
Carletti, Timoteo ; Margheri, Alessandro
arXiv, 0503010 / Harvested from arXiv
Text on arXiv
We prove the existence of invariant curves for a $T$--periodic Hamiltonian system which models a fluid stirring in a cylindrical tank, when $T$ is small and the assigned stirring protocol is piecewise constant. Furthermore, using the Numerical Analysis of the Fundamental Frequency of Laskar, we investigate numerically the break down of invariant curves as $T$ increases and we give a quantitative estimate of the efficiency of the mixing.
Publié le : 2005-03-01
Classification:  Mathematics - Dynamical Systems,  Mathematical Physics,  34C29,  76M99,  65T99 
@article{0503010,
     author = {Carletti, Timoteo and Margheri, Alessandro},
     title = {Measuring the mixing efficiency in a simple model of stirring:some
  analytical results and a quantitative study via Frequency Map Analysis},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503010}
}

Carletti, Timoteo; Margheri, Alessandro. Measuring the mixing efficiency in a simple model of stirring:some
  analytical results and a quantitative study via Frequency Map Analysis. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503010/