摘要
A steady-state Poisson-Nernst-Planck model with n ion species is studied under the assumption that <em>n</em> - 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.
A steady-state Poisson-Nernst-Planck model with n ion species is studied under the assumption that <em>n</em> - 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.
作者
Guojian Lin
Guojian Lin(Department of Mathematics, Renmin University of China, Beijing, China)
