On the approximation of transport phenomena:A dynamical systems approach
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...
Published in: | GAMM-Mitteilungen |
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Main Authors: | , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
2009
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Subjects: | |
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 |
Summary: | 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. |
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