On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem

Autores
Amster, Pablo Gustavo; Rogers, Colin
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Two-point boundary value problems of Dirichlet type are investigated for a ErmakovPainlev´e II equation which arises out of a reduction of a three-ion electrodiffusion Nernst-Planck model system. In addition, it is shown how Ermakov invariants may be employed to solve a hybrid Ermakov-Painlev´e II triad in terms of a solution of the single component integrable Ermakov-Painlev´e II reduction. The latter is related to the classical Painlev´e II equation.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Rogers, Colin. University Of New South Wales; Australia
Materia
Ermakov-Painlevé Ii
Three-Ion Electrodiffusion
Boundary Value Problems
Singular Problems
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/18937
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problemAmster, Pablo GustavoRogers, ColinErmakov-Painlevé IiThree-Ion ElectrodiffusionBoundary Value ProblemsSingular Problemshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Two-point boundary value problems of Dirichlet type are investigated for a ErmakovPainlev´e II equation which arises out of a reduction of a three-ion electrodiffusion Nernst-Planck model system. In addition, it is shown how Ermakov invariants may be employed to solve a hybrid Ermakov-Painlev´e II triad in terms of a solution of the single component integrable Ermakov-Painlev´e II reduction. The latter is related to the classical Painlev´e II equation.Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Rogers, Colin. University Of New South Wales; AustraliaAmer Inst Mathematical Sciences2015-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/18937Amster, Pablo Gustavo; Rogers, Colin; On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem; Amer Inst Mathematical Sciences; Discrete And Continuous Dynamical Systems; 35; 8; 8-2015; 3277-32921078-0947CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.3934/dcds.2015.35.3277info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10850info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:05:06Zoai:ri.conicet.gov.ar:11336/18937instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:05:06.718CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem
title On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem
spellingShingle On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem
Amster, Pablo Gustavo
Ermakov-Painlevé Ii
Three-Ion Electrodiffusion
Boundary Value Problems
Singular Problems
title_short On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem
title_full On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem
title_fullStr On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem
title_full_unstemmed On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem
title_sort On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Rogers, Colin
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Rogers, Colin
author_role author
author2 Rogers, Colin
author2_role author
dc.subject.none.fl_str_mv Ermakov-Painlevé Ii
Three-Ion Electrodiffusion
Boundary Value Problems
Singular Problems
topic Ermakov-Painlevé Ii
Three-Ion Electrodiffusion
Boundary Value Problems
Singular Problems
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Two-point boundary value problems of Dirichlet type are investigated for a ErmakovPainlev´e II equation which arises out of a reduction of a three-ion electrodiffusion Nernst-Planck model system. In addition, it is shown how Ermakov invariants may be employed to solve a hybrid Ermakov-Painlev´e II triad in terms of a solution of the single component integrable Ermakov-Painlev´e II reduction. The latter is related to the classical Painlev´e II equation.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Rogers, Colin. University Of New South Wales; Australia
description Two-point boundary value problems of Dirichlet type are investigated for a ErmakovPainlev´e II equation which arises out of a reduction of a three-ion electrodiffusion Nernst-Planck model system. In addition, it is shown how Ermakov invariants may be employed to solve a hybrid Ermakov-Painlev´e II triad in terms of a solution of the single component integrable Ermakov-Painlev´e II reduction. The latter is related to the classical Painlev´e II equation.
publishDate 2015
dc.date.none.fl_str_mv 2015-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/18937
Amster, Pablo Gustavo; Rogers, Colin; On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem; Amer Inst Mathematical Sciences; Discrete And Continuous Dynamical Systems; 35; 8; 8-2015; 3277-3292
1078-0947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/18937
identifier_str_mv Amster, Pablo Gustavo; Rogers, Colin; On a Ermakov-Painlevé II reduction in three-ion electrodiffusion: a Dirichlet boundary value problem; Amer Inst Mathematical Sciences; Discrete And Continuous Dynamical Systems; 35; 8; 8-2015; 3277-3292
1078-0947
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.3934/dcds.2015.35.3277
info:eu-repo/semantics/altIdentifier/url/http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10850
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Amer Inst Mathematical Sciences
publisher.none.fl_str_mv Amer Inst Mathematical Sciences
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613882857914368
score 13.070432

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