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
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