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A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate

A nonlinear Poisson–Boltzmann equation with inhomogeneous Robin type boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potential generated by a vector of ion concentrations in a periodic multiphase medium with dilute solid particles. Th...

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Detalles Bibliográficos
Autores principales: Fellner, Klemens, Kovtunenko, Victor A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5894435/
https://www.ncbi.nlm.nih.gov/pubmed/29696244
http://dx.doi.org/10.1080/00036811.2015.1105962
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author Fellner, Klemens
Kovtunenko, Victor A.
author_facet Fellner, Klemens
Kovtunenko, Victor A.
author_sort Fellner, Klemens
collection PubMed
description A nonlinear Poisson–Boltzmann equation with inhomogeneous Robin type boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potential generated by a vector of ion concentrations in a periodic multiphase medium with dilute solid particles. The key issue stems from interfacial jumps, which necessitate discontinuous solutions to the problem. Based on variational techniques, we derive the homogenisation of the discontinuous problem and establish a rigorous residual error estimate up to the first-order correction.
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spelling pubmed-58944352018-04-23 A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate Fellner, Klemens Kovtunenko, Victor A. Appl Anal Original Articles A nonlinear Poisson–Boltzmann equation with inhomogeneous Robin type boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potential generated by a vector of ion concentrations in a periodic multiphase medium with dilute solid particles. The key issue stems from interfacial jumps, which necessitate discontinuous solutions to the problem. Based on variational techniques, we derive the homogenisation of the discontinuous problem and establish a rigorous residual error estimate up to the first-order correction. Taylor & Francis 2015-11-04 /pmc/articles/PMC5894435/ /pubmed/29696244 http://dx.doi.org/10.1080/00036811.2015.1105962 Text en © 2015 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group http://creativecommons.org/licenses/by/4.0/ This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Original Articles
Fellner, Klemens
Kovtunenko, Victor A.
A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate
title A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate
title_full A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate
title_fullStr A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate
title_full_unstemmed A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate
title_short A discontinuous Poisson–Boltzmann equation with interfacial jump: homogenisation and residual error estimate
title_sort discontinuous poisson–boltzmann equation with interfacial jump: homogenisation and residual error estimate
topic Original Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5894435/
https://www.ncbi.nlm.nih.gov/pubmed/29696244
http://dx.doi.org/10.1080/00036811.2015.1105962
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