M107, Hong-Jing Hall, NCU
(中央大學鴻經館 M107)
Stationary solutions to the Poisson-Nernst-Planck equations with steric effects
Li-Chang Hung (National Taiwan University)
A method based on a differential algebraic equation (DAE) approach is employed to find stationary solutions of the Poisson-Nernst-Planck equations with steric effects (PNP-steric equations). Under appropriates boundary conditions, the equivalence of the PNP-steric equations and a corresponding system of DAEs is shown. Solving this system of DAEs leads to the existence of stationary solutions of PNP-steric equations. We show that for suitable range of the parameters, the steric effect can produces infinitely many discontinuous stationary solutions. Moreover under a stronger intra-species steric effect, we prove that a smooth solution converges to a constant stationary solution. This is a joint work with Mach Nguyet Minh.
