On the approximation of transport phenomena: A dynamical systems approach
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Authors
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.
| Original language | English |
|---|---|
| Journal | GAMM Mitteilungen |
| Volume | 32 |
| Issue number | 1 |
| Pages (from-to) | 47-60 |
| Number of pages | 14 |
| ISSN | 0936-7195 |
| DOIs | |
| Publication status | Published - 01.06.2009 |
| Externally published | Yes |
- Almost-invariant sets, Coherent structures, Ocean dynamics, Three-body problem, Transfer operator, Transport rates
- Didactics of Mathematics