TY - JOUR
T1 - Measuring the mixing efficiency in a simple model of stirring: some analytical results and a quantitative study via frequency map analysis
AU - Carletti, Timoteo
AU - Margheri, Alessandro
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
KW - Chaos in fluid dynamics
KW - Frequency Map Analysis
KW - applications of chaos
KW - Control of chaos
M3 - Article
VL - 39
SP - 299
EP - 312
JO - Journal of Physics A: Mathematical and general
JF - Journal of Physics A: Mathematical and general
ER -