Existence and local uniqueness of classical Poisson-Nernst-Planck systems with multi-component permanent charges and multiple cations (Q6099154)

scientific article; zbMATH DE number 7697812

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English	Existence and local uniqueness of classical Poisson-Nernst-Planck systems with multi-component permanent charges and multiple cations	scientific article; zbMATH DE number 7697812

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instance of

scholarly article

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title

Existence and local uniqueness of classical Poisson-Nernst-Planck systems with multi-component permanent charges and multiple cations (English)

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published in

Discrete and Continuous Dynamical Systems. Series S

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publication date

19 June 2023

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zbMATH Keywords

GSPT

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PNP

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permanent charges

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ionic flows

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electroneutrality conditions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/dcdss.2022134

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cites work

Asymptotic Expansions of I-V Relations via a Poisson–Nernst–Planck System

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Mathematical studies of Poisson-Nernst-Planck model for membrane channels: finite ion size effects without electroneutrality boundary conditions

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Ion Flow through Narrow Membrane Channels: Part I

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Ion Flow through Narrow Membrane Channels: Part II

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Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Perturbation and Simulation Study

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Dynamics of ionic flows via Poisson-Nernst-Planck systems with local hard-sphere potentials: competition between cations

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Individual Flux Study via Steady-State Poisson--Nernst--Planck Systems: Effects from Boundary Conditions

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Ion size and valence effects on ionic flows via Poisson-Nernst-Planck models

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Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations

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Poisson–Nernst–Planck Systems for Ion Channels with Permanent Charges

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Relative dielectric constants and selectivity ratios in open ionic channels

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Reversal permanent charge and reversal potential: case studies via classical Poisson–Nernst–Planck models

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Geometric singular perturbation theory for ordinary differential equations

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A mathematical model for the hard sphere repulsion in ionic solutions

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Energy variational approach to study charge inversion (layering) near charged walls

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Flux ratios and channel structures

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Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. I: Analysis

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Effects of (Small) Permanent Charge and Channel Geometry on Ionic Flows via Classical Poisson--Nernst--Planck Models

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Qualitative properties of ionic flows via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: ion size effects

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Q4847945

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Tracking invariant manifolds with differential forms in singularly perturbed systems

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New Poisson–Boltzmann type equations: one-dimensional solutions

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Poisson--Nernst--Planck Systems for Ion Flow with a Local Hard-Sphere Potential for Ion Size Effects

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Geometric Singular Perturbation Approach to Steady-State Poisson--Nernst--Planck Systems

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One-dimensional steady-state Poisson-Nernst-Planck systems for ion channels with multiple ion species

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Poisson-Nernst-Planck systems for ion flow with density functional theory for hard-sphere potential: I-V relations and critical potentials. II: Numerics

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Poisson-Nernst-Planck systems for narrow tubular-like membrane channels

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A complete analysis of a classical Poisson-Nernst-Planck model for ionic flow

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Ion size effects on individual fluxes via Poisson-Nernst-Planck systems with Bikerman's local hard-sphere potential: analysis without electroneutrality boundary conditions

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Qualitative Properties of Steady-State Poisson--Nernst--Planck Systems: Mathematical Study

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Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels

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A Poisson–Nernst–Planck Model for Biological Ion Channels—An Asymptotic Analysis in a Three-Dimensional Narrow Funnel

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Non-localness of excess potentials and boundary value problems of Poisson-Nernst-Planck systems for ionic flow: a case study

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Invariant Manifolds and Singularly Perturbed Boundary Value Problems

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Differential geometry based multiscale models

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Variational Multiscale Models for Charge Transport

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Effects on I–V relations from small permanent charge and channel geometry via classical Poisson–Nernst–Planck equations with multiple cations

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Dynamics of classical Poisson-Nernst-Planck systems with multiple cations and boundary layers

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Asymptotic expansions and numerical simulations of I-V relations via a steady state Poisson-Nernst-Planck system

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Boundary layer effects on ionic flows via classical Poisson-Nernst-Planck systems

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Identifiers

zbMATH Open document ID

1512.34021

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DOI

10.3934/dcdss.2022134

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6099154