BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Remarks about the Poisson-Nernst-Planck equations Kinderlehrer, David


The Poisson-Nernst-Planck system of equations used to model ionic transport is interpreted as a gradient flow for the Wasser- stein distance and a free energy in an appropriate space of probability measures. The interaction term between the species arising from the Gauss law is singular which gives rise to some challenging issues. We give a description of this situation attempting to maintain a minimal technical level including the basic format of the Wasserstein-type im- plicit scheme. This is joint work with L ́eonard Monsaingeon and Xiang Xu.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International