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Time-dependent dynamical systems and...

Lekien, Francois.

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Time-dependent dynamical systems and geophysical flows.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Time-dependent dynamical systems and geophysical flows./
Author:	Lekien, Francois.
Description:	149 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-04, Section: B, page: 1755.
Contained By:	Dissertation Abstracts International64-04B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3086866
ISBN:	0496346552

Time-dependent dynamical systems and geophysical flows.
Lekien, Francois.

Time-dependent dynamical systems and geophysical flows. - 149 p.

Source: Dissertation Abstracts International, Volume: 64-04, Section: B, page: 1755.

Thesis (Ph.D.)--California Institute of Technology, 2003.

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.

ISBN: 0496346552Subjects--Topical Terms:

515831
Mathematics.

Time-dependent dynamical systems and geophysical flows.
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100 1 $a Lekien, Francois. $3 1924985
245 1 0 $a Time-dependent dynamical systems and geophysical flows.
300 $a 149 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-04, Section: B, page: 1755.
502 $a Thesis (Ph.D.)--California Institute of Technology, 2003.
520 $a 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.
520 $a 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.
520 $a 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.
590 $a School code: 0037.
650 4 $a Mathematics. $3 515831
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Environmental. $3 783782
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690 $a 0346
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710 2 0 $a California Institute of Technology. $3 726902
773 0 $t Dissertation Abstracts International $g 64-04B.
790 $a 0037
791 $a Ph.D.
792 $a 2003
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3086866