نتایج جستجو برای: modified extended nernst planck equation

تعداد نتایج: 689309  

Journal: :Biophysical journal 1999
M G Kurnikova R D Coalson P Graf A Nitzan

A lattice relaxation algorithm is developed to solve the Poisson-Nernst-Planck (PNP) equations for ion transport through arbitrary three-dimensional volumes. Calculations of systems characterized by simple parallel plate and cylindrical pore geometries are presented in order to calibrate the accuracy of the method. A study of ion transport through gramicidin A dimer is carried out within this P...

2008
Lorenzo Brandolese

We study the global existence and space-time asymptotics of solutions for a class of nonlocal parabolic semilinear equations. Our models include the Nernst–Planck and the Debye–Hückel drift-diffusion systems as well as parabolic-elliptic systems of chemotaxis. In the case of a model of self-gravitating particles, we also give a result on the finite time blow up of solutions with localized and o...

2017
Piotr Biler Lorenzo Brandolese

We study the global existence and space-time asymptotics of solutions for a class of nonlocal parabolic semilinear equations. Our models include the Nernst–Planck and the Debye–Hückel drift-diffusion systems as well as parabolic-elliptic systems of chemotaxis. In the case of a model of self-gravitating particles, we also give a result on the finite time blow up of solutions with localized and o...

Journal: :Proceedings of the National Academy of Sciences of the United States of America 1978
T R Hays C Q Buckwalter S H Lin H Eyring

Solutions of the simplified time-dependent Nernst-Planck electrodiffusion equations for various membrane models under the influence of a step voltage change are presented. Comparison of the results for a membrane with continuous sites to those for membranes with two, three or five intermediate sites shows little difference either qualitatively or quantitatively in the concentration of the diffu...

Journal: :Aiche Journal 2022

Abstract There is a need for developing reliable models water and solute transport in graphene oxide (GO) membranes advancing their emerging industrial processing applications. In this direction, we develop predictive GO reduced‐GO (rGO) over wide concentration range (0.01–0.5 M) compositions, based on the extended Nernst–Planck equations, Donnan equilibrium condition, adsorption models. Some m...

2010
Andreas Prohl Markus Schmuck

We propose and analyse two convergent fully discrete schemes to solve the incompressible Navier-Stokes-Nernst-Planck-Poisson system. The first scheme converges to weak solutions satisfying an energy and an entropy dissipation law. The second scheme uses Chorin’s projection method to obtain an efficient approximation that converges to strong solutions at optimal rates. Mathematics Subject Classi...

2009
FUCAI LI

The electro-diffusion model, which arises in electrohydrodynamics, is a coupling between the Nernst-Planck-Poisson system and the incompressible Navier-Stokes equations. For the generally smooth doping profile, the quasineutral limit (zero-Debye-length limit) is justified rigorously in Sobolev norm uniformly in time. The proof is based on the elaborate energy analysis and the key point is to es...

نمودار تعداد نتایج جستجو در هر سال

با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید