130 citations · 309 across the 20 of their papers we have counts for
20 papers
Asymptotic Analysis of Boundary Layer Solutions to Poisson-Boltzmann Type Equations in General Bounded Smooth Domains
Jhih-Hong Lyu, Tai-Chia Lin
We study the boundary layer solution to singular perturbation problems involving Poisson-Boltzmann (PB) type equations with a small parameter in general bounded smooth domains…
PB-steric equations: A general model of Poisson-Boltzmann equations
Jhih-Hong Lyu, Tai-Chia Lin
When ions are crowded, the effect of steric repulsion between ions (which can produce oscillations in charge density profiles) becomes significant and the conventional Poisson-Bolt…
On the asymptotic limit of steady state Poisson--Nernst--Planck equations with steric effects
Jhih-Hong Lyu, Tai-Chia Lin
When ions are crowded, the effect of steric repulsion between ions becomes significant and the conventional Poisson--Boltzmann (PB) equation (without steric effect) should be modif…
Near- and far-field expansions for stationary solutions of Poisson--Nernst--Planck equations
Jhih-Hong Lyu, Chiun-Chang Lee, Tai-Chia Lin
This work is concerned with the stationary Poisson--Nernst--Planck equation with a large parameter which describes a huge number of ions occupying an electrolytic region. Firstly,…
Global Existence of the Non-isothermal Poisson-Nernst-Planck-Fourier System
Chia-Yu Hsieh, Tai-Chia Lin, Chun Liu +1
In this paper, we consider a non-isothermal electrokinetic model, which is derived from the Energetic Variational Approach. The charge transport is described through the Poisson-Ne…
Semi-classical analysis with new Galilean transformations for a Gross--Pitaevskii system with non-zero conditions at infinity
Qi Gao, Chiun-Chang Lee, Tai-Chia Lin
Recently, a rich variety of the micro-phenomena of the superfluid passing an obstacle has been observed in the binary mixture of rotating Bose--Einstein condensates (BECs). Among s…