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

页码：34 / 54

页数：21

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