On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion

Autores
Amster, Pablo Gustavo; Kwong, M. K.; Rogers, C.
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A two-point Neumann boundary value problem for a two ion electro-diffusion model reducible to the Painlevé II equation is investigated. The problem is unconventional in that the model equation involves yet-to-be determined boundary values of the solution. In prior work by Thompson, the existence of a solution was established subject to an inequality on the physical parameters. Here, a two-dimensional shooting method is used to show that this restriction may be removed. A practical algorithm for the solution of the boundary value problem is presented in an appendix
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Kwong, M. K.. Hong Kong Polytechnic University; China
Fil: Rogers, C.. University Of New South Wales; Australia
Materia
Neumann conditions
Painlevé II
Two ion electrodiffusion
shooting method
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/14889
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/14889
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-DiffusionAmster, Pablo GustavoKwong, M. K.Rogers, C.Neumann conditionsPainlevé IITwo ion electrodiffusionshooting methodhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A two-point Neumann boundary value problem for a two ion electro-diffusion model reducible to the Painlevé II equation is investigated. The problem is unconventional in that the model equation involves yet-to-be determined boundary values of the solution. In prior work by Thompson, the existence of a solution was established subject to an inequality on the physical parameters. Here, a two-dimensional shooting method is used to show that this restriction may be removed. A practical algorithm for the solution of the boundary value problem is presented in an appendixFil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Kwong, M. K.. Hong Kong Polytechnic University; ChinaFil: Rogers, C.. University Of New South Wales; AustraliaElsevier2010-06-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/14889Amster, Pablo Gustavo; Kwong, M. K.; Rogers, C.; On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion; Elsevier; Journal Of Nonlinear Analysis; 74; 9; 30-6-2010; 2897-29070362-546Xenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0362546X10004475info:eu-repo/semantics/altIdentifier/doi/10.1016/j.na.2010.06.063info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:43:28Zoai:ri.conicet.gov.ar:11336/14889instacron: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 10:43:29.205CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion
title On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion
spellingShingle On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion
Amster, Pablo Gustavo
Neumann conditions
Painlevé II
Two ion electrodiffusion
shooting method
title_short On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion
title_full On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion
title_fullStr On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion
title_full_unstemmed On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion
title_sort On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Kwong, M. K.
Rogers, C.
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Kwong, M. K.
Rogers, C.
author_role author
author2 Kwong, M. K.
Rogers, C.
author2_role author
author
dc.subject.none.fl_str_mv Neumann conditions
Painlevé II
Two ion electrodiffusion
shooting method
topic Neumann conditions
Painlevé II
Two ion electrodiffusion
shooting method
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A two-point Neumann boundary value problem for a two ion electro-diffusion model reducible to the Painlevé II equation is investigated. The problem is unconventional in that the model equation involves yet-to-be determined boundary values of the solution. In prior work by Thompson, the existence of a solution was established subject to an inequality on the physical parameters. Here, a two-dimensional shooting method is used to show that this restriction may be removed. A practical algorithm for the solution of the boundary value problem is presented in an appendix
Fil: Amster, Pablo Gustavo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Kwong, M. K.. Hong Kong Polytechnic University; China
Fil: Rogers, C.. University Of New South Wales; Australia
description A two-point Neumann boundary value problem for a two ion electro-diffusion model reducible to the Painlevé II equation is investigated. The problem is unconventional in that the model equation involves yet-to-be determined boundary values of the solution. In prior work by Thompson, the existence of a solution was established subject to an inequality on the physical parameters. Here, a two-dimensional shooting method is used to show that this restriction may be removed. A practical algorithm for the solution of the boundary value problem is presented in an appendix
publishDate 2010
dc.date.none.fl_str_mv 2010-06-30
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/11336/14889
Amster, Pablo Gustavo; Kwong, M. K.; Rogers, C.; On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion; Elsevier; Journal Of Nonlinear Analysis; 74; 9; 30-6-2010; 2897-2907
0362-546X
url http://hdl.handle.net/11336/14889
identifier_str_mv Amster, Pablo Gustavo; Kwong, M. K.; Rogers, C.; On a Neumann Boundary Value Problem for Painlevé II in Two Ion Electro-Diffusion; Elsevier; Journal Of Nonlinear Analysis; 74; 9; 30-6-2010; 2897-2907
0362-546X
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0362546X10004475
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.na.2010.06.063
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
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: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_ 1844614470151700480
score 13.070432

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