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.