电泳的泊松-能斯特-普朗克模型的存在性理论
偏微分方程分析
2014-02-20 v3 数学物理
math.MP
摘要
考虑一个模拟浸没在不可压缩电离流体中的带电刚性大分子电泳运动的系统。离子浓度由能斯特-普朗克方程控制，并与静电势的泊松方程、描述流体和大分子动力学的纳维-斯托克斯方程和牛顿方程相耦合。遵循Desjardins和Esteban [Comm. Partial Diff. Eq., 25 (2000), 1399--1414]的方法，建立了适当弱解的局部时间存在性结果。
引用
@article{arxiv.1102.5370,
title = {Existence theory for a Poisson-Nernst-Planck model of electrophoresis},
author = {Luciano Bedin and Mark Thompson},
journal= {arXiv preprint arXiv:1102.5370},
year = {2014}
}
备注
This paper has been withdrawn by the authors due to several misprints. A corrected and full version was published in Comm. Pure Appl. Anal. 12(1), 157-206, (2013)