The geometry of mixing in time-periodic chaotic flows. I: Asymptotic directionality in physically realizable flows and global invariant properties

DOI10.1016/S0167-2789(99)00018-4zbMath0943.76037OpenAlexW2051367680WikidataQ128141919 ScholiaQ128141919MaRDI QIDQ1809406

Stefano Cerbelli, Fernando J. Muzzio, Mario M. Alvarez, Massimiliano Giona, Alessandra Adrover

Publication date: 5 September 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00018-4

zbMATH Keywords

invariant measurePoincaré mapfluid mixinghyperbolic periodic pointsasymptotic directionalityasymptotic eigendirectionsclosed cavity flowflow between eccentric cylindersgeometric global unstable manifoldinvariant unstable manifoldstopology of material linestwo-dimensional time-periodic chaotic flows

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Turbulent transport, mixing (76F25) Dynamical systems approach to turbulence (76F20)

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