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...
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ftuluenebcrispub:oai:pure.leuphana.de:publications/9dfd1157-34b9-4fb7-9229-51092525f794 2023-05-15T18:25:14+02:00 On the approximation of transport phenomena:A dynamical systems approach Dellnitz, Michael Froyland, Gary Horenkamp, Christian Padberg, Kathrin 2009-06 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 eng eng info:eu-repo/semantics/closedAccess Dellnitz , M , Froyland , G , Horenkamp , C & Padberg , K 2009 , ' On the approximation of transport phenomena : A dynamical systems approach ' , GAMM Mitteilungen , vol. 32 , no. 1 , pp. 47-60 . https://doi.org/10.1002/gamm.200910004 Almost-invariant sets Coherent structures Ocean dynamics Three-body problem Transfer operator Transport rates /dk/atira/pure/core/keywords/54907418X Didactics of Mathematics article 2009 ftuluenebcrispub https://doi.org/10.1002/gamm.200910004 2021-07-30T08:27:19Z 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. Article in Journal/Newspaper Southern Ocean Leuphana University of Lüneburg: Forschungsindex FOX Southern Ocean GAMM-Mitteilungen 32 1 47 60 |
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Open Polar |
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Leuphana University of Lüneburg: Forschungsindex FOX |
op_collection_id |
ftuluenebcrispub |
language |
English |
topic |
Almost-invariant sets Coherent structures Ocean dynamics Three-body problem Transfer operator Transport rates /dk/atira/pure/core/keywords/54907418X Didactics of Mathematics |
spellingShingle |
Almost-invariant sets Coherent structures Ocean dynamics Three-body problem Transfer operator Transport rates /dk/atira/pure/core/keywords/54907418X Didactics of Mathematics Dellnitz, Michael Froyland, Gary Horenkamp, Christian Padberg, Kathrin On the approximation of transport phenomena:A dynamical systems approach |
topic_facet |
Almost-invariant sets Coherent structures Ocean dynamics Three-body problem Transfer operator Transport rates /dk/atira/pure/core/keywords/54907418X Didactics of Mathematics |
description |
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. |
format |
Article in Journal/Newspaper |
author |
Dellnitz, Michael Froyland, Gary Horenkamp, Christian Padberg, Kathrin |
author_facet |
Dellnitz, Michael Froyland, Gary Horenkamp, Christian Padberg, Kathrin |
author_sort |
Dellnitz, Michael |
title |
On the approximation of transport phenomena:A dynamical systems approach |
title_short |
On the approximation of transport phenomena:A dynamical systems approach |
title_full |
On the approximation of transport phenomena:A dynamical systems approach |
title_fullStr |
On the approximation of transport phenomena:A dynamical systems approach |
title_full_unstemmed |
On the approximation of transport phenomena:A dynamical systems approach |
title_sort |
on the approximation of transport phenomena:a dynamical systems approach |
publishDate |
2009 |
url |
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 |
geographic |
Southern Ocean |
geographic_facet |
Southern Ocean |
genre |
Southern Ocean |
genre_facet |
Southern Ocean |
op_source |
Dellnitz , M , Froyland , G , Horenkamp , C & Padberg , K 2009 , ' On the approximation of transport phenomena : A dynamical systems approach ' , GAMM Mitteilungen , vol. 32 , no. 1 , pp. 47-60 . https://doi.org/10.1002/gamm.200910004 |
op_rights |
info:eu-repo/semantics/closedAccess |
op_doi |
https://doi.org/10.1002/gamm.200910004 |
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GAMM-Mitteilungen |
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32 |
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