2 papers
math.NA2024
Convergence and long-time behavior of finite volumes for a generalized Poisson-Nernst-Planck system with cross-diffusion and size exclusion
Clément Cancès, Maxime Herda, Annamaria Massimini
We present a finite volume scheme for modeling the diffusion of charged particles, specifically ions, in constrained geometries using a degenerate Poisson-Nernst-Planck system with…
math.AP2023
Analysis of a Poisson-Nernst-Planck-Fermi system for charge transport in ion channels
Ansgar Jüngel, Annamaria Massimini
A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a pola…