Modified Poisson--Nernst--Planck Model with Coulomb and Hard-sphere Correlations
We develop a modified Poisson--Nernst--Planck model which includes both the long-range
Coulomb and short-range hard-sphere correlations in its free energy functional such that the …
Coulomb and short-range hard-sphere correlations in its free energy functional such that the …
Structure-preserving and efficient numerical methods for ion transport
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 electrochemical devices and many biological processes of significance. In this work, we …
Global existence of the non-isothermal Poisson–Nernst–Planck–Fourier system
In this paper, we use the Energetic Variational Approach to derive a non-isothermal
electrokinetic model. The charge transport is described through the Poisson–Nernst–Planck …
electrokinetic model. The charge transport is described through the Poisson–Nernst–Planck …
On an incompressible inertial nematic electrolyte model of liquid crystal flow
D Ma, Y Ma - Applicable Analysis, 2024 - Taylor & Francis
We study the Cauchy problem of the new model of the three dimensional inertial nematic
electrolyte, which models the N-species charged particles diffuse and advect in the nematic …
electrolyte, which models the N-species charged particles diffuse and advect in the nematic …
Some random batch particle methods for the Poisson-Nernst-Planck and Poisson-Boltzmann equations
We consider in this paper random batch interacting particle methods for solving the Poisson-
Nernst-Planck (PNP) equations, and thus the Poisson-Boltzmann (PB) equation as the …
Nernst-Planck (PNP) equations, and thus the Poisson-Boltzmann (PB) equation as the …
Asymptotic analysis on charging dynamics for stack-electrode model of supercapacitors
Supercapacitors are promising electrochemical energy storage devices due to their
prominent performance in rapid charging/discharging rates, long cycle life, stability, etc …
prominent performance in rapid charging/discharging rates, long cycle life, stability, etc …
Optimal decay rates of the solution for generalized Poisson–Nernst–Planck–Navier–Stokes equations in
L Tong, Z Tan - Zeitschrift für angewandte Mathematik und Physik, 2021 - Springer
The Cauchy problem of a generalized Poisson–Nernst–Planck–Navier–Stokes system in R^
3 R 3 will be considered in this article. Based on the spectral analysis and the energy …
3 R 3 will be considered in this article. Based on the spectral analysis and the energy …
Hierarchical Interpolative Factorization for Self Green's Function in 3D Modified Poisson-Boltzmann Equations
Abstract The modified Poisson-Boltzmann (MPB) equations are often used to describe the
equilibrium particle distribution of ionic systems. In this paper, we propose a fast algorithm to …
equilibrium particle distribution of ionic systems. In this paper, we propose a fast algorithm to …
Linear-scaling selected inversion based on hierarchical interpolative factorization for self Green's function for modified Poisson-Boltzmann equation in two dimensions
This paper studies an efficient numerical method for solving modified Poisson-Boltzmann
(MPB) equations with the self Green's function as a state equation to describe electrostatic …
(MPB) equations with the self Green's function as a state equation to describe electrostatic …
Hysteresis and linear stability analysis on multiple steady-state solutions to the Poisson-Nernst-Planck equations with steric interactions
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 …
of steric Poisson-Nernst-Planck equations with Dirichlet boundary conditions, which are …