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Residual Type a Posteriori Error Estimates for the Time-Dependent Poisson–Nernst–Planck Equations
This paper investigates the residual type a posteriori error estimators for a fully discrete approximation to the solution of the time-dependent...
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Redox Equilibria
This chapter focuses on equilibria involving electron transfers (redoxRedox reactions). A systematic approach to identify electron transfers and to...
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Optimal Error Estimates of Coupled and Divergence-Free Virtual Element Methods for the Poisson–Nernst–Planck/Navier–Stokes Equations and Applications in Electrochemical Systems
In this article, we propose and analyze a fully coupled, nonlinear, and energy-stable virtual element method (VEM) for solving the coupled...
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Spin-polarized Weyl cones and giant anomalous Nernst effect in ferromagnetic Heusler films
Weyl semimetals are characterized by the presence of massless band dispersion in momentum space. When a Weyl semimetal meets magnetism, large...
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Superconvergent gradient recovery for nonlinear Poisson-Nernst-Planck equations with applications to the ion channel problem
Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system. An error estimate in H 1 ...
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Numerical Modeling of a Desalination Process Through the Ion-Exchange Membranes of a Electrodialysis Cell
A bi-dimensional electrodialysis unit cell model was developed in this study by using a Finite Element Method (FEM) technique. This model,...
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Efficient, Positive, and Energy Stable Schemes for Multi-D Poisson–Nernst–Planck Systems
In this paper, we design, analyze, and numerically validate positive and energy-dissipating schemes for solving the time-dependent multi-dimensional...
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Two Entropic Finite Volume Schemes for a Nernst–Planck–Poisson System with Ion Volume Constraints
Modeling and simulation of ion transport in electrolytes is an important tool to investigate electrochemical devices as well as biological systems at...
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Entropy and convergence analysis for two finite volume schemes for a Nernst–Planck–Poisson system with ion volume constraints
In this paper, we consider a drift-diffusion system with cross-coupling through the chemical potentials comprising a model for the motion of finite...
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A Refined Thin-Film Model for Drug Dissolution Considering Radial Diffusion – Simulating Powder Dissolution
PurposeWe aim to present a refined thin-film model describing the drug particle dissolution considering radial diffusion in spherical boundary layer,...
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Small Permanent Charge Effects on Individual Fluxes via Poisson–Nernst–Planck Models with Multiple Cations
A quasi-one-dimensional Poisson–Nernst–Planck system for ionic flow through a membrane channel is studied. Nonzero but small permanent charge, the...
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Evaluation of the Effect of Electroosmosis on the Efficiency of Electrobaromembrane Separation with Track-Etched Membranes
AbstractThe results of a theoretical analysis of the influence of the electroosmotic flow on the electromigration and convective transport of...
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Vortex entropy and superconducting fluctuations in ultrathin underdoped Bi2Sr2CaCu2O8+x superconductor
Vortices in superconductors can help identify emergent phenomena but certain fundamental aspects of vortices, such as their entropy, remain poorly...
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Analysis of improved Nernst–Planck–Poisson models of compressible isothermal electrolytes
We consider an improved Nernst–Planck–Poisson model first proposed by Dreyer et al. in 2013 for compressible isothermal electrolytes in...
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Asymptotics of the Solution to a Stationary Piecewise-Smooth Reaction-Diffusion-Advection Equation
A singularly perturbed boundary value problem for a piecewise-smooth nonlinear stationary equation of reaction-diffusion-advection type is studied. A...
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Ion-concentration gradients induced by synaptic input increase the voltage depolarization in dendritic spines
The vast majority of excitatory synaptic connections occur on dendritic spines. Due to their extremely small volume and spatial segregation from the...
