Reversal Potential and Reversal Permanent Charge With Unequal Diffusion Coefficients via Classical Poisson--Nernst--Planck Models

DOI10.1137/19M1269105zbMath1454.34084arXiv1909.01192MaRDI QIDQ5123476

Hamid Mofidi, Weishi Liu

Publication date: 29 September 2020

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

Full work available at URL: https://arxiv.org/abs/1909.01192

zbMATH Keywords

reversal potentialGSP for PNPreversal permanent charge

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Singular perturbations of ordinary differential equations (34D15) Invariant manifold theory for dynamical systems (37D10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Singular perturbations for ordinary differential equations (34E15) Physiological flow (92C35)

Related Items (6)

Dynamics of Poisson-Nernst-Planck Systems and Ionic Flows Through Ion Channels: A Review ⋮ Flux ratios for effects of permanent charges on ionic flows with three ion species: new phenomena from a case study ⋮ Reversal permanent charge and concentrations in ionic flows via Poisson-Nernst-Planck models ⋮ Geometric singular perturbation approach to Poisson-Nernst-Planck systems with local hard-sphere potential: studies on zero-current ionic flows with boundary layers ⋮ Studies on reversal permanent charges and reversal potentials via classical Poisson-Nernst-Planck systems with boundary layers ⋮ Qualitative properties of zero-current ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes

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