Boundary Layer Effects on Ionic Flows Via Classical Poisson-Nernst-Planck Systems

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Abstract: A quasi-one-dimensional steady-state Poisson-Nernst-Planck model of two oppositely charged ion species through a membrane channel is analyzed. The model problem is treated as a boundary value problem of a singularly perturbed differential system. Our analysis is based on the geometric singular perturbation theory but, most importantly, on specific structures of this concrete model. The existence and (local) uniqueness of solutions to the boundary value problem is established. In particular, an approximation of both the individual flux and the I-V (current-voltage) relation are derived explicitly from the zeroth order approximation (in ") solutions, from which the boundary layer effects on ionic flows are studied in great details.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Boundary Layer Effects on Ionic Flows Via Classical Poisson-Nernst-Planck Systems ; volume:6 ; number:1 ; year:2018 ; pages:14-27 ; extent:14
Computational and mathematical biophysics ; 6, Heft 1 (2018), 14-27 (gesamt 14)

Creator
Zhang, Mingji

DOI
10.1515/cmb-2018-0002
URN
urn:nbn:de:101:1-2410261656490.967955196762
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:31 AM CEST

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Associated

  • Zhang, Mingji

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