2 papers
physics.comp-ph2020
Hysteresis and Linear Stability Analysis on Multiple Steady-State Solutions to the Poisson--Nernst--Planck equations with Steric Interactions
Jie Ding, Hui Sun, Shenggao Zhou
In this work, we numerically study linear stability of multiple steady-state solutions to a type of steric Poisson--Nernst--Planck (PNP) equations with Dirichlet boundary condition…
math.NA2020
Structure-Preserving and Efficient Numerical Methods for Ion Transport
Jie Ding, Zhongming Wang, Shenggao Zhou
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,…