Author(s)

Guojian Lin

Department of Mathematics, Renmin University of China, Beijing, China.

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.

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

Lin, G. (2020) PNP Models with the Same Positively Charged Valence. Journal of Applied Mathematics and Physics, 8, 1930-1948. doi: 10.4236/jamp.2020.89145.