On the Approximation of Transport Phenomena – a Dynamical Systems Approach

Abstract Transport phenomena are studied in a large variety of dynamical systems with applications ranging from the analysis of fluid flow in the ocean and the predator‐prey interaction in jelly‐fish to the investigation of blood flow in the cardiovascular system. Our approach to analyze transport i...

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Bibliographic Details
Published in:GAMM-Mitteilungen
Main Authors: Dellnitz, Michael, Froyland, Gary, Horenkamp, Christian, Padberg, Kathrin
Format: Article in Journal/Newspaper
Language:English
Published: Wiley 2009
Subjects:
Online Access:http://dx.doi.org/10.1002/gamm.200910004
https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fgamm.200910004
https://onlinelibrary.wiley.com/doi/pdf/10.1002/gamm.200910004
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Summary:Abstract Transport phenomena are studied in a large variety of dynamical systems with applications ranging from the analysis of fluid flow in the ocean and the predator‐prey interaction in jelly‐fish to the investigation of blood flow in the cardiovascular system. Our approach to analyze transport is based on the methodology of so‐called transfer operators associated with a dynamical system since this is particularly suitable. We describe the approach and illustrate it by two real world applications: the computation of transport for asteroids in the solar system and the approximation of macroscopic structures in the Southern Ocean (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)