Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves

The aim of this paper is to prove that a three dimensional Lagrangian flow which defines equatorially trapped water waves is dynamically possible. This is achieved by applying a mixture of analytical and topological methods to prove that the nonlinear exact solution to the geophysical governing equa...

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Detalhes bibliográficos
Autor: Sastre Gómez, Silvia
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/138513
Acesso em linha:https://hdl.handle.net/11441/138513
https://doi.org/10.1016/j.na.2015.06.017
Access Level:acceso abierto
Palavra-chave:Global diffeomorphism
Geophysical water waves
Exact and explicit solution
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spelling Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water wavesSastre Gómez, SilviaGlobal diffeomorphismGeophysical water wavesExact and explicit solutionThe aim of this paper is to prove that a three dimensional Lagrangian flow which defines equatorially trapped water waves is dynamically possible. This is achieved by applying a mixture of analytical and topological methods to prove that the nonlinear exact solution to the geophysical governing equations, derived by Constantin (2012), is a global diffeomorphism from the Lagrangian labelling variables to the fluid domain beneath the free surface.ElsevierEcuaciones Diferenciales y Análisis NuméricoFQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/138513https://doi.org/10.1016/j.na.2015.06.017reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésNonlinear Analysis, 125, 725-731.https://doi.org/10.1016/j.na.2015.06.017info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1385132026-06-17T12:51:07Z
dc.title.none.fl_str_mv Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves
title Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves
spellingShingle Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves
Sastre Gómez, Silvia
Global diffeomorphism
Geophysical water waves
Exact and explicit solution
title_short Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves
title_full Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves
title_fullStr Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves
title_full_unstemmed Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves
title_sort Global diffeomorphism of the Lagrangian flow-map defining equatorially trapped water waves
dc.creator.none.fl_str_mv Sastre Gómez, Silvia
author Sastre Gómez, Silvia
author_facet Sastre Gómez, Silvia
author_role author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software
dc.subject.none.fl_str_mv Global diffeomorphism
Geophysical water waves
Exact and explicit solution
topic Global diffeomorphism
Geophysical water waves
Exact and explicit solution
description The aim of this paper is to prove that a three dimensional Lagrangian flow which defines equatorially trapped water waves is dynamically possible. This is achieved by applying a mixture of analytical and topological methods to prove that the nonlinear exact solution to the geophysical governing equations, derived by Constantin (2012), is a global diffeomorphism from the Lagrangian labelling variables to the fluid domain beneath the free surface.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/138513
https://doi.org/10.1016/j.na.2015.06.017
url https://hdl.handle.net/11441/138513
https://doi.org/10.1016/j.na.2015.06.017
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Nonlinear Analysis, 125, 725-731.
https://doi.org/10.1016/j.na.2015.06.017
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
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