Open-flow mixing and transfer operators

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet


We study finite-time mixing in time-periodic open flow systems. We describe the transport of densities in terms of a transfer operator, which is represented by the transition matrix of a finite-state Markov chain. The transport processes in the open system are organized by the chaotic saddle and its stable and unstable manifolds. We extract these structures directly from leading eigenvectors of the transition matrix. We use different measures to quantify the degree of mixing and show that they give consistent results in parameter studies of two model systems. This article is part of the theme issue 'Mathematical problems in physical fluid dynamics (part 1)'.

ZeitschriftPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences
Anzahl der Seiten22
PublikationsstatusErschienen - 13.06.2022

Bibliographische Notiz

Funding Information:
This research has been supported by the Deutsche Forschungsgemeinschaft within the Priority Programme DFG-SPP 1881 on Turbulent Superstructures. A.K. and K.P.-G. thank Sanjeeva Balasuriya for fruitful discussions.

Publisher Copyright:
© 2022 The Author(s).

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