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.

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Dellnitz M, Froyland G, Horenkamp C, Padberg K. On the approximation of transport phenomena: A dynamical systems approach. GAMM Mitteilungen. 2009 Jun 1;32(1):47-60. doi: 10.1002/gamm.200910004

Bibtex

@article{9dfd115734b94fb7922951092525f794,
title = "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 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.",
keywords = "Almost-invariant sets, Coherent structures, Ocean dynamics, Three-body problem, Transfer operator, Transport rates, Didactics of Mathematics",
author = "Michael Dellnitz and Gary Froyland and Christian Horenkamp and Kathrin Padberg",
year = "2009",
month = jun,
day = "1",
doi = "10.1002/gamm.200910004",
language = "English",
volume = "32",
pages = "47--60",
journal = "GAMM Mitteilungen",
issn = "0936-7195",
publisher = "Wiley-VCH Verlag",
number = "1",

}

RIS

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 -

DOI