The seminars in Mathematical Modeling and Analysis are aimed at researchers, employees, and students.
This week's seminar is given by Apratim Bhattacharya, Umeå University.
Title: Homogenization of Poisson-Nernst-Planck equations for multiple species in a porous medium
Abtract: The Poisson-Nernst-Planck (PNP) equations form a coupled parabolic-elliptic system, which models the transport of charged particles under the influence of diffusion and electric force. This talk is concerned with the homogenization (derivation of macroscopic approximation) of the PNP equations for the case of multiple species defined on a periodic porous medium. Our work extends the previous homogenization results for the PNP equations dealing with the two-species case.
