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dc.contributor.author
Amster, Pablo Gustavo
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dc.contributor.author
Kwong, Man Kan
dc.contributor.author
Rogers, Colin
dc.date.available
2017-04-05T20:57:03Z
dc.date.issued
2012-10
dc.identifier.citation
Amster, Pablo Gustavo; Kwong, Man Kan; Rogers, Colin; A Neumann Boundary Value Problem in Two-Ion Electro-diffusion with Unequal Valencies; Amer Inst Mathematical Sciences; Discrete And Continuous Dynamical Systems-series B; 17; 7; 10-2012; 2299-2311
dc.identifier.issn
1531-3492
dc.identifier.uri
http://hdl.handle.net/11336/14879
dc.description.abstract
In prior work, a series of two-point boundary value problems have been investigated for a steady state two-ion electro-diffusion model system in which the sum of the valencies ν+ and ν− is zero. In that case, reduction is obtained to the canonical Painlevé II equation for the scaled electric field. Here, a physically important Neumann boundary value problem in the generic case when ν++ν−≠0 is investigated. The problem is novel in that the model equation for the electric field involves yet to be determined boundary values of the solution. A reduction of the Neumann boundary value problem in terms of elliptic functions is obtained for privileged valency ratios. A topological index argument is used to establish the existence of a solution in the general case, under the assumption ν++ν−≤0.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Amer Inst Mathematical Sciences
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Electro-Diffusion Models
dc.subject
Painlevé Ii
dc.subject
Unequal Valencies
dc.subject.classification
Matemática Pura
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
A Neumann Boundary Value Problem in Two-Ion Electro-diffusion with Unequal Valencies
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-04-05T15:12:14Z
dc.journal.volume
17
dc.journal.number
7
dc.journal.pagination
2299-2311
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
Springfield
dc.description.fil
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
dc.description.fil
Fil: Kwong, Man Kan. Hong Kong Polytechnic University; China
dc.description.fil
Fil: Rogers, Colin. University Of New South Wales. Faculty Of Science; Australia. Hong Kong Polytechnic University; China
dc.journal.title
Discrete And Continuous Dynamical Systems-series B
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://aimsciences.org/journals/displayArticlesnew.jsp?paperID=7475
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3934/dcdsb.2012.17.2299
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