3 papers
math-ph2022
On the equilibrium of the Poisson-Nernst-Planck-Bikermann model equipping with the steric and correlation effects
Jian-Guo Liu, Yijia Tang, Yu Zhao
The Poisson-Nernst-Planck-Bikermann (PNPB) model, in which the ions and water molecules are treated as different species with non-uniform sizes and valences with interstitial voids…
math.NA2020
A unified structure preserving scheme for a multi-species model with a gradient flow structure and nonlocal interactions via singular kernels
Yong Zhang, Yu Zhao, Zhennan Zhou
In this paper, we consider a nonlinear and nonlocal parabolic model for multi-species ionic fluids and introduce a semi-implicit finite volume scheme, which is second order accurat…
math.AP2019
Field model for complex ionic fluids: analytical properties and numerical investigation
Jian-Guo Liu, Jinhuan Wang, Yu Zhao +1
In this paper, we consider the field model for complex ionic fluids with an energy variational structure, and analyze the well-posedness to this model with regularized kernels. Fur…