On the approximation of transport phenomena: A dynamical systems approach
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On the approximation of transport phenomena : A dynamical systems approach. / Dellnitz, Michael; Froyland, Gary; Horenkamp, Christian et al.
In: GAMM Mitteilungen, Vol. 32, No. 1, 01.06.2009, p. 47-60.Research output: Journal contributions › Journal articles › Research › peer-review
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TY - JOUR
T1 - On the approximation of transport phenomena
T2 - A dynamical systems approach
AU - Dellnitz, Michael
AU - Froyland, Gary
AU - Horenkamp, Christian
AU - Padberg, Kathrin
PY - 2009/6/1
Y1 - 2009/6/1
N2 - 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.
AB - 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.
KW - Almost-invariant sets
KW - Coherent structures
KW - Ocean dynamics
KW - Three-body problem
KW - Transfer operator
KW - Transport rates
KW - Didactics of Mathematics
UR - http://www.scopus.com/inward/record.url?scp=80052414863&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/cd82e8ac-f136-3540-8e7c-e7fa004f99c1/
U2 - 10.1002/gamm.200910004
DO - 10.1002/gamm.200910004
M3 - Journal articles
AN - SCOPUS:80052414863
VL - 32
SP - 47
EP - 60
JO - GAMM Mitteilungen
JF - GAMM Mitteilungen
SN - 0936-7195
IS - 1
ER -