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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| 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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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 |
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openAccess |
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application/pdf application/pdf |
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Elsevier |
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Elsevier |
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reponame:idUS. Depósito de Investigación de la Universidad de Sevilla instname:Universidad de Sevilla (US) |
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Universidad de Sevilla (US) |
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idUS. Depósito de Investigación de la Universidad de Sevilla |
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idUS. Depósito de Investigación de la Universidad de Sevilla |
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