Global existence of solutions for the Poisson-Nernst-Planck system with steric effects

被引：9
|
作者：
Hsieh, Chia-Yu [1 ]
机构：
[1] Chinese Univ Hong Kong, Dept Math, Hong Kong, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 50卷
关键词：
Poisson-Nernst-Planck system; Steric effects; Global existence; ASYMPTOTIC-BEHAVIOR; TIME BEHAVIOR; EQUATIONS; MODEL; ELECTROLYTES; TRANSPORT; CHANNELS;
D O I：
10.1016/j.nonrwa.2019.04.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study the global existence of a modified Poisson-Nernst-Planck system with steric effects. This model involves cross-diffusion and non-local terms. The main idea of the proof is to approximate the system by truncating the diffusion matrix and apply the Schauder's fixed-point theorem. Moreover, we obtain L-2 uniform in time estimates from the energy inequality (3.5). The global existence then follows. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：34 / 54
页数：21
相关论文
共 50 条
  • [31] Steric effects in the dynamics of electrolytes at large applied voltages. II. Modified Poisson-Nernst-Planck equations
    Kilic, Mustafa Sabri
    Bazant, Martin Z.
    Ajdari, Armand
    PHYSICAL REVIEW E, 2007, 75 (02):
  • [32] Error Analysis of Mixed Finite Element Method for Poisson-Nernst-Planck System
    He, Mingyan
    Sun, Pengtao
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 33 (06) : 1924 - 1948
  • [33] ASYMPTOTIC ANALYSIS ON DIELECTRIC BOUNDARY EFFECTS OF MODIFIED POISSON-NERNST-PLANCK EQUATIONS
    Ji, Lijie
    Liu, Pei
    Xu, Zhenli
    Zhou, Shenggao
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 78 (03) : 1802 - 1822
  • [34] Analytical solution of the Poisson-Nernst-Planck equations for an electrochemical system close to electroneutrality
    Pabst, M.
    JOURNAL OF CHEMICAL PHYSICS, 2014, 140 (22):
  • [35] Introduction of effective dielectric constant to the Poisson-Nernst-Planck model
    Sawada, Atsushi
    PHYSICAL REVIEW E, 2016, 93 (05)
  • [36] A conservative finite difference scheme for Poisson-Nernst-Planck equations
    Flavell, Allen
    Machen, Michael
    Eisenberg, Bob
    Kabre, Julienne
    Liu, Chun
    Li, Xiaofan
    JOURNAL OF COMPUTATIONAL ELECTRONICS, 2014, 13 (01) : 235 - 249
  • [37] POISSON-NERNST-PLANCK (PNP) THEORY OF AN OPEN IONIC CHANNEL
    EISENBERG, R
    CHEN, DP
    BIOPHYSICAL JOURNAL, 1993, 64 (02) : A22 - A22
  • [38] Poisson-Nernst-Planck systems for ion channels with permanent charges
    Eisenberg, Bob
    Liu, Weishi
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2007, 38 (06) : 1932 - 1966
  • [39] Exact solution of the Poisson-Nernst-Planck equations in the linear regime
    Golovnev, A.
    Trimper, S.
    JOURNAL OF CHEMICAL PHYSICS, 2009, 131 (11):
  • [40] Three dimensional Poisson-Nernst-Planck theory of open channels
    Hollerbach, U
    Chen, D
    Nonner, W
    Eisenberg, B
    BIOPHYSICAL JOURNAL, 1999, 76 (01) : A205 - A205
12345