In this work, we consider numerical methods for the Poisson–Nernst–Planck–Cahn–Hilliard
(PNPCH) equations with steric interactions, which correspond to a non-constant mobility H …

To study ion transport in electrolyte solutions, we propose numerical methods for a modified
Poisson–Nernst–Planck model with ionic steric effects (SPNP). Positivity preserving …

Ion transport, often described by the Poisson–Nernst–Planck (PNP) equations, is ubiquitous
in electrochemical devices and many biological processes of significance. In this work, we …

In this work, we propose and analyze a second-order accurate numerical scheme, both in
time and space, for the multi-dimensional Poisson-Nernst-Planck system. Linearized stability …

Experiments measuring currents through single protein channels show unstable currents, a
phenomena called the gating of a single channel. Channels switch between an “open” state …

The analysis of structure-preserving numerical methods for the Poisson--Nernst--Planck
(PNP) system has attracted growing interests in recent years. In this work, we provide an …

This paper characterizes sharp solute-solvent interfaces in hydrophobic environments, and
there are three major ingredients. The first is the variational implicit solvent model (VISM) …

In this work, we numerically study linear stability of multiple steady-state solutions to a type
of steric Poisson-Nernst-Planck equations with Dirichlet boundary conditions, which are …

Ion transport, the movement of ions across a cellular membrane, plays a crucial role in a
wide variety of biological processes and can be described by the Poisson-Nernst-Planck …

The analysis of structure-preserving numerical methods for the Poisson–Nernst–Planck
(PNP) system has attracted growing interests in recent years. A class of numerical …