Article citationsMore>>

Gavish, N. (2018) Poisson-Nernst-Planck Equations with Steric Effects Non Convexity and Multiple Stationary Solutions. Physica D: Nonlinear Phenomena, 368, 50-65.
https://doi.org/10.1016/j.physd.2017.12.008

has been cited by the following article:

• TITLE: PNP Models with the Same Positively Charged Valence

  AUTHORS: Guojian Lin

  KEYWORDS: Poisson-Nernst-Planck Model, Singular Perturbation, Boundary Layer

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.9, September 27, 2020

  ABSTRACT: A steady-state Poisson-Nernst-Planck model with n ion species is studied under the assumption that n - 1 positively charged ion species have the same valence and there is only one negatively charged ion species. By re-scaling, this model can be viewed as a standard singularly perturbed system. Based on the explicit formulae for the solutions of its limit slow system and singular perturbation methods, the existence of the solutions is analyzed.