Characterization and efficient computation of Lagrangian coherent structures

Schilling, Nathanael

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Nathanael Schilling

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Original title:: Characterization and efficient computation of Lagrangian coherent structures
Translated title:: Charakterisierung und effiziente Berechnung von Lagrange'sch kohärenten Strukturen
Author:: Schilling, Nathanael
Year:: 2021
Document type:: Dissertation
Faculty/School:: Fakultät für Mathematik
Advisor:: Junge, Oliver (Prof. Dr.)
Referee:: Junge, Oliver (Prof. Dr.); Hartmann, Carsten (Prof. Dr.); Koltai, Péter (Prof. Dr.)
Language:: en
Subject group:: MAT Mathematik
TUM classification:: MAT 650
Abstract:: A number of physical systems have been observed to contain Lagrangian structures at large scales resisting (diffusive) transport or mixing. In this cumulative dissertation, we describe progress made in some papers towards the question of characterization and efficient computation of Lagrangian coherent structures. This involves the analysis of connections between different methods in the literature for the computation of Lagrangian coherent structures from the viewpoint of the advection-diffusion equation. «
A number of physical systems have been observed to contain Lagrangian structures at large scales resisting (diffusive) transport or mixing. In this cumulative dissertation, we describe progress made in some papers towards the question of characterization and efficient computation of Lagrangian coherent structures. This involves the analysis of connections between different methods in the literature for the computation of Lagrangian coherent structures from the viewpoint of the advection-diffusio... »
Translated abstract:: In einer großen Anzahl von physikalischen Systemen werden Lagrang’sche Strukturen beobachtet, die auf großen Skalen (diffusivem) Transport oder (diffusiver) Mischung widerstehen. In dieser kumulativen Dissertation, wird Fortschritt aus verschiedenen Arbeiten zur Frage der Charakterisierung und effizienten Berechnung dieser Strukturen beschrieben. Verbindungen zwischen unterschiedlichen Methoden aus der Literatur werden im Zusammenhang der Advektions-Diffusions-Gleichung untersucht.
WWW:: https://mediatum.ub.tum.de/?id=1601546
Date of submission:: 26.03.2021
Oral examination:: 19.07.2021
File size:: 7346695 bytes
Pages:: 141
Urn (citeable URL):: https://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:91-diss-20210719-1601546-1-8
Last change:: 16.09.2021
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