Effects of Large Permanent Charges on Ionic Flows via Poisson--Nernst--Planck Models

DOI10.1137/19M1289443zbMath1464.78003OpenAlexW3082720553MaRDI QIDQ4983497

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Publication date: 20 April 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1289443

zbMATH Keywords

Poisson-Nernst-Planck modelscurrent saturationdeclining phenomenonlarge permanent charge

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Geometric methods in ordinary differential equations (34A26) Motion of charged particles (78A35) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Electrochemistry (78A57)

Related Items (7)

Boundary layer effects on ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes ⋮ Dynamics of Poisson-Nernst-Planck Systems and Ionic Flows Through Ion Channels: A Review ⋮ Effects of ion sizes on Poisson–Nernst–Planck systems with multiple ions ⋮ Flux ratios for effects of permanent charges on ionic flows with three ion species: new phenomena from a case study ⋮ Permanent Charge Effects on Ionic Flow: A Numerical Study of Flux Ratios and Their Bifurcation ⋮ Geometric singular perturbation approach to Poisson-Nernst-Planck systems with local hard-sphere potential: studies on zero-current ionic flows with boundary layers ⋮ Qualitative properties of zero-current ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes

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