Time-Dependent Dynamical Systems and Geophysical Flows
This thesis presents a dynamical systems approach to transport and mixing in geophysical flows. First, new algorithms are developed that allow one to study a dynamical system that is described in a variety of ways such as by means of observational data or numerical simulations of differential equati...
Main Author: | |
---|---|
Format: | Thesis |
Language: | English |
Published: |
2003
|
Subjects: | |
Online Access: | https://thesis.library.caltech.edu/1304/ https://thesis.library.caltech.edu/1304/1/thesis.pdf https://resolver.caltech.edu/CaltechETD:etd-04082003-180353 |
id |
ftcaltechdiss:oai:thesis.library.caltech.edu:1304 |
---|---|
record_format |
openpolar |
spelling |
ftcaltechdiss:oai:thesis.library.caltech.edu:1304 2023-09-05T13:21:31+02:00 Time-Dependent Dynamical Systems and Geophysical Flows Lekien, Francois Paul 2003 application/pdf https://thesis.library.caltech.edu/1304/ https://thesis.library.caltech.edu/1304/1/thesis.pdf https://resolver.caltech.edu/CaltechETD:etd-04082003-180353 en eng https://thesis.library.caltech.edu/1304/1/thesis.pdf Lekien, Francois Paul (2003) Time-Dependent Dynamical Systems and Geophysical Flows. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/A83E-VZ73. https://resolver.caltech.edu/CaltechETD:etd-04082003-180353 <https://resolver.caltech.edu/CaltechETD:etd-04082003-180353> other Thesis NonPeerReviewed 2003 ftcaltechdiss https://doi.org/10.7907/A83E-VZ73 2023-08-14T17:25:46Z This thesis presents a dynamical systems approach to transport and mixing in geophysical flows. First, new algorithms are developed that allow one to study a dynamical system that is described in a variety of ways such as by means of observational data or numerical simulations of differential equations. Next, methods available to study non-autonomous systems, such as hyperbolic trajectories and Lagrangian coherent structures, are developed. These concepts are applied to examples of interests: Monterey Bay, the coast of Florida and the circulation in the North Atlantic. Combining accurate current measurements and recent developments in dynamical systems theory provides new and original answers to many problems, such as the minimization of the impact of released contaminants in a coastal area or the optimization of the coverage by a group of drifters. The appendices give details about MANGEN, a software package developed to produce the numerical results of this thesis. Some projects that make use of its algorithms, such as the dissociation rate of a molecule and efficient space mission design, are also described. Thesis North Atlantic CaltechTHESIS (California Institute of Technology |
institution |
Open Polar |
collection |
CaltechTHESIS (California Institute of Technology |
op_collection_id |
ftcaltechdiss |
language |
English |
description |
This thesis presents a dynamical systems approach to transport and mixing in geophysical flows. First, new algorithms are developed that allow one to study a dynamical system that is described in a variety of ways such as by means of observational data or numerical simulations of differential equations. Next, methods available to study non-autonomous systems, such as hyperbolic trajectories and Lagrangian coherent structures, are developed. These concepts are applied to examples of interests: Monterey Bay, the coast of Florida and the circulation in the North Atlantic. Combining accurate current measurements and recent developments in dynamical systems theory provides new and original answers to many problems, such as the minimization of the impact of released contaminants in a coastal area or the optimization of the coverage by a group of drifters. The appendices give details about MANGEN, a software package developed to produce the numerical results of this thesis. Some projects that make use of its algorithms, such as the dissociation rate of a molecule and efficient space mission design, are also described. |
format |
Thesis |
author |
Lekien, Francois Paul |
spellingShingle |
Lekien, Francois Paul Time-Dependent Dynamical Systems and Geophysical Flows |
author_facet |
Lekien, Francois Paul |
author_sort |
Lekien, Francois Paul |
title |
Time-Dependent Dynamical Systems and Geophysical Flows |
title_short |
Time-Dependent Dynamical Systems and Geophysical Flows |
title_full |
Time-Dependent Dynamical Systems and Geophysical Flows |
title_fullStr |
Time-Dependent Dynamical Systems and Geophysical Flows |
title_full_unstemmed |
Time-Dependent Dynamical Systems and Geophysical Flows |
title_sort |
time-dependent dynamical systems and geophysical flows |
publishDate |
2003 |
url |
https://thesis.library.caltech.edu/1304/ https://thesis.library.caltech.edu/1304/1/thesis.pdf https://resolver.caltech.edu/CaltechETD:etd-04082003-180353 |
genre |
North Atlantic |
genre_facet |
North Atlantic |
op_relation |
https://thesis.library.caltech.edu/1304/1/thesis.pdf Lekien, Francois Paul (2003) Time-Dependent Dynamical Systems and Geophysical Flows. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/A83E-VZ73. https://resolver.caltech.edu/CaltechETD:etd-04082003-180353 <https://resolver.caltech.edu/CaltechETD:etd-04082003-180353> |
op_rights |
other |
op_doi |
https://doi.org/10.7907/A83E-VZ73 |
_version_ |
1776202122756358144 |