Diff. Geom, Math. Phys., PDE Seminar: Tai-Chia Lin
Topic
Solutions to Poisson-Nernst-Planck type systems with cross-diffusion terms
Speakers
Details
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
Additional Information
Location: ESB 2012
Tai-Chia Lin, National Taiwan University
Tai-Chia Lin, National Taiwan University