On the approximation of transport phenomena:A dynamical systems approach

• Published in: GAMM-Mitteilungen
• Main Authors: Dellnitz, Michael, Froyland, Gary, Horenkamp, Christian, Padberg, Kathrin
• Format: Article in Journal/Newspaper
• Language: English
• Published: 2009
• Subjects: Almost-invariant sets; Coherent structures; Ocean dynamics; Three-body problem; Transfer operator; Transport rates; /dk/atira/pure/core/keywords/54907418X; Didactics of Mathematics; Southern Ocean
• Online Access: http://fox.leuphana.de/portal/de/publications/on-the-approximation-of-transport-phenomena(9dfd1157-34b9-4fb7-9229-51092525f794).html; https://doi.org/10.1002/gamm.200910004; http://www.scopus.com/inward/record.url?scp=80052414863&partnerID=8YFLogxK

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 jellyfish 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.