Lagrangian descriptors in geophysical flows: a survey

This survey focuses on the application of Lagrangian descriptors to reveal the geometry of phase space structures that determine transport in dynamical systems. We present diverse formulations of the method and examine various applications of Lagrangian descriptors in geophysical fluids, such as atm...

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Author: Curbelo Hernández, Jezabel|||0000-0002-7276-0127
Format: article
Publication Date:2025
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/427352
Online Access:https://hdl.handle.net/2117/427352
https://dx.doi.org/10.1007/s40324-025-00382-y
Access Level:Open access
Keyword:Differentiable dynamical systems
Lagrangian descriptors
Lagrangian coherent structures
Phase space
Geophysical flows
Sistemes dinàmics diferenciables
Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
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oai_identifier_str oai:upcommons.upc.edu:2117/427352
network_acronym_str ES
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repository_id_str
spelling Lagrangian descriptors in geophysical flows: a surveyCurbelo Hernández, Jezabel|||0000-0002-7276-0127Differentiable dynamical systemsLagrangian descriptorsLagrangian coherent structuresPhase spaceGeophysical flowsSistemes dinàmics diferenciablesClassificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theoryÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmicsThis survey focuses on the application of Lagrangian descriptors to reveal the geometry of phase space structures that determine transport in dynamical systems. We present diverse formulations of the method and examine various applications of Lagrangian descriptors in geophysical fluids, such as atmospheric flows and oceanic currents. The method of Lagrangian Descriptors has proven to be a powerful tool for characterizing transport and mixing in these contexts, demonstrating how these tools have enhanced our understanding of complex fluid dynamics in critical environments.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. We acknowledge the support of the RyC Grant RYC2018-025169, 2020/2021, the Spanish Grants PID2020-114043GB-I00, PID2021-122954NB-I00, CEX2020-001084-M, CNS2023-144360 funded by MICIU/AEI/10.13039/501100011033 and “European Union NextGenerationEU/PRTR” , the Ramón Areces Foundation and the “2022 Leonardo Grant for Researchers and Cultural Creators”, BBVA Foundation.Peer ReviewedSpringer20252025-03-1620252025-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/427352https://dx.doi.org/10.1007/s40324-025-00382-yreponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122954NB-I00 INVARIANT MANIFOLDS, HAMILTONIAN SYSTEMS AND DYNAMICS IN NEUROSCIENCE, EPIDEMIOLOGY AND ATMOSPHEREAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-114043GB-I00 COMPUTACION DE ALTO RENDIMIENTO DE ESTRUCTURAS HIDRODINAMICAS COHERENTESopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/4273522026-05-27T15:37:01Z
dc.title.none.fl_str_mv Lagrangian descriptors in geophysical flows: a survey
title Lagrangian descriptors in geophysical flows: a survey
spellingShingle Lagrangian descriptors in geophysical flows: a survey
Curbelo Hernández, Jezabel|||0000-0002-7276-0127
Differentiable dynamical systems
Lagrangian descriptors
Lagrangian coherent structures
Phase space
Geophysical flows
Sistemes dinàmics diferenciables
Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
title_short Lagrangian descriptors in geophysical flows: a survey
title_full Lagrangian descriptors in geophysical flows: a survey
title_fullStr Lagrangian descriptors in geophysical flows: a survey
title_full_unstemmed Lagrangian descriptors in geophysical flows: a survey
title_sort Lagrangian descriptors in geophysical flows: a survey
dc.creator.none.fl_str_mv Curbelo Hernández, Jezabel|||0000-0002-7276-0127
author Curbelo Hernández, Jezabel|||0000-0002-7276-0127
author_facet Curbelo Hernández, Jezabel|||0000-0002-7276-0127
author_role author
dc.subject.none.fl_str_mv Differentiable dynamical systems
Lagrangian descriptors
Lagrangian coherent structures
Phase space
Geophysical flows
Sistemes dinàmics diferenciables
Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
topic Differentiable dynamical systems
Lagrangian descriptors
Lagrangian coherent structures
Phase space
Geophysical flows
Sistemes dinàmics diferenciables
Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
description This survey focuses on the application of Lagrangian descriptors to reveal the geometry of phase space structures that determine transport in dynamical systems. We present diverse formulations of the method and examine various applications of Lagrangian descriptors in geophysical fluids, such as atmospheric flows and oceanic currents. The method of Lagrangian Descriptors has proven to be a powerful tool for characterizing transport and mixing in these contexts, demonstrating how these tools have enhanced our understanding of complex fluid dynamics in critical environments.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-03-16
2025
2025-04-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/427352
https://dx.doi.org/10.1007/s40324-025-00382-y
url https://hdl.handle.net/2117/427352
https://dx.doi.org/10.1007/s40324-025-00382-y
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023 PID2021-122954NB-I00 INVARIANT MANIFOLDS, HAMILTONIAN SYSTEMS AND DYNAMICS IN NEUROSCIENCE, EPIDEMIOLOGY AND ATMOSPHERE
Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-114043GB-I00 COMPUTACION DE ALTO RENDIMIENTO DE ESTRUCTURAS HIDRODINAMICAS COHERENTES
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.811543

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