Open-flow mixing and transfer operators

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Authors

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)'.

OriginalspracheEnglisch
Aufsatznummer20210028
ZeitschriftPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences
Jahrgang380
Ausgabenummer2225
Anzahl der Seiten1
ISSN1364-503X
DOIs
PublikationsstatusErschienen - 13.06.2022

DOI