Parabolic-elliptic system modeling biological ion channels
type: Item
instance of: scholarly article
title: Parabolic-elliptic system modeling biological ion channels
zbMATH Open document ID: 1472.35230
author: Lucjan Sapa
published in: Journal of Differential Equations
publication date: 2021-06-18T00:00:00Z
review text: A system of parabolic equations describing transport of biological ions in one-dimensional channels, coupled through an elliptic equation for the potential, is considered. This system of Nernst-Planck-Poisson type is supplemented with biologically relevant boundary conditions of Chang-Jaffé type (the normal component of the flux is proportional to the weighted difference of concentrations across the boundary). The existence, regularity and positivity properties of local in time solutions are established.
reviewed by: Piotr Biler
Mathematics Subject Classification ID: 35K61
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 7361028
zbMATH Keywords: drift-diffusion systems
zbMATH Keywords: transport of ions
zbMATH Keywords: Chang-Jaffé boundary conditions
zbMATH Keywords: existence and regularity of solutions
zbMATH Keywords: system of Nernst-Planck-Poisson type
MaRDI profile type: Publication
Wikidata QID: Q112159974
full work available at URL: j.jde.2021.04.030
OpenAlex ID: W3157531192
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DOI: 10.1016/J.JDE.2021.04.030
description: scientific article; zbMATH DE number 7361028