A neumann boundary value problem in two-ion electro-diffusion with unequal valencies

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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...

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Autores principales: Amster, P., Kwong, M.K., Rogers, C.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2012
Materias:
Neumann boundary conditions
Topological index
Two-ion electro-diffusion
Unequal valencies
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15313492_v17_n7_p2299_Amster
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paperaa:paper_15313492_v17_n7_p2299_Amster2023-06-12T16:50:37Z A neumann boundary value problem in two-ion electro-diffusion with unequal valencies Discrete Contin. Dyn. Syst. Ser. B 2012;17(7):2299-2311 Amster, P. Kwong, M.K. Rogers, C. Neumann boundary conditions Topological index Two-ion electro-diffusion Unequal valencies 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. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15313492_v17_n7_p2299_Amster
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Neumann boundary conditions
Topological index
Two-ion electro-diffusion
Unequal valencies
spellingShingle Neumann boundary conditions
Topological index
Two-ion electro-diffusion
Unequal valencies
Amster, P.
Kwong, M.K.
Rogers, C.
A neumann boundary value problem in two-ion electro-diffusion with unequal valencies
topic_facet Neumann boundary conditions
Topological index
Two-ion electro-diffusion
Unequal valencies
description 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.
format Artículo
Artículo
publishedVersion
author Amster, P.
Kwong, M.K.
Rogers, C.
author_facet Amster, P.
Kwong, M.K.
Rogers, C.
author_sort Amster, P.
title A neumann boundary value problem in two-ion electro-diffusion with unequal valencies
title_short A neumann boundary value problem in two-ion electro-diffusion with unequal valencies
title_full A neumann boundary value problem in two-ion electro-diffusion with unequal valencies
title_fullStr A neumann boundary value problem in two-ion electro-diffusion with unequal valencies
title_full_unstemmed A neumann boundary value problem in two-ion electro-diffusion with unequal valencies
title_sort neumann boundary value problem in two-ion electro-diffusion with unequal valencies
publishDate 2012
url http://hdl.handle.net/20.500.12110/paper_15313492_v17_n7_p2299_Amster
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