Diff. Geom, Math. Phys., PDE Seminar: Tai-Chia Lin

  • Date: 09/15/2015
  • Time: 15:30
Tai-Chia Lin, National Taiwan University

University of British Columbia


Solutions to Poisson-Nernst-Planck type systems with cross-diffusion terms


The Poisson-Nernst-Planck (PNP) system is a well-known model of ion transport with many applications in biology, engineering and physics. Cross-diffusion terms may describe the exclusion of steric effects. In this lecture, I shall introduce cross diffusion terms from the Lennard-Jones potential and show the analytical results as follows:

1.Stability of 1D boundary layer solutions to original Poisson-Nernst-Planck (PNP) systems

2.Multiple solutions of PNP systems with steric effects

Other Information: 

Location: ESB 2012