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

DOI10.1007/s10884-020-09861-4zbMath1489.34076OpenAlexW3037691464MaRDI QIDQ2225496

Zhenshu Wen, Mingji Zhang, Li-jun Zhang

Publication date: 8 February 2021

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-020-09861-4

zbMATH Keywords

boundary layersexchange lemmaionic channelcurrent-voltage relationsingular orbitionic flowcompetitions between cations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Motion of charged particles (78A35) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Related Items (13)

Boundary layer effects on ionic flows via Poisson-Nernst-Planck systems with nonuniform ion sizes ⋮ Persistence of kink and periodic waves to singularly perturbed two-component Drinfel'd-Sokolov-Wilson system ⋮ Existence and local uniqueness of classical Poisson-Nernst-Planck systems with multi-component permanent charges and multiple cations ⋮ On the monotonicity of limit wave speed of the pgKdV equation with nonlinear terms of arbitrary higher degree ⋮ Existence of single-peak solitary waves and double-peaks solitary wave of Gardner equation with Kuramoto-Sivashinsky perturbation ⋮ Finite ion size effects on ionic flows via Poisson-Nernst-Planck systems: higher order contributions ⋮ Flux ratios for effects of permanent charges on ionic flows with three ion species: new phenomena from a case study ⋮ Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations ⋮ Geometric singular perturbation approach to Poisson-Nernst-Planck systems with local hard-sphere potential: studies on zero-current ionic flows with boundary layers ⋮ Mathematical analysis of Poisson–Nernst–Planck models with permanent charges and boundary layers: studies on individual fluxes ⋮ Effects on I–V relations from small permanent charge and channel geometry via classical Poisson–Nernst–Planck equations with multiple cations ⋮ 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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