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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…
The virial theorem and ground state energy estimate of nonlinear Schrödinger equations in with square root and saturable nonlinearities in nonlinear optics
Tai-Chia Lin, Milivoj R. Belic, Milan S. Petrovic +2
The virial theorem is a nice property for the linear Schrodinger equation in atomic and molecular physics as it gives an elegant ratio between the kinetic and potential energies an…