Measuring the mixing efficiency in a simple model of stirring: some analytical results and a quantitative study via frequency map analysis

Timoteo Carletti, Alessandro Margheri

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    Abstract

    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.
    Original languageEnglish
    Pages (from-to)299-312
    Number of pages14
    JournalJournal of Physics A: Mathematical and general
    Volume39
    Publication statusPublished - 2006

    Keywords

    • Chaos in fluid dynamics
    • Frequency Map Analysis
    • applications of chaos
    • Control of chaos

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