An integro-differential equation arising from an electrochemistry model-Reference-Cited by-同舟云学术

An integro-differential equation arising from an electrochemistry model

Published:1997 Issue:4 Volume:55 Page:677-686
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Choi Y. S.,Lui Roger

Abstract

In this paper, we prove the existence and uniqueness of steady-state solutions for a system of equations arising from a model in electrochemistry. The same result was established by the authors in an earlier paper under the additional assumptions that the space-dimension N = 2 N = 2 and the concentrations of the charged ions satisfy an electro-neutrality condition.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1997-55-04/S0033-569X-1997-1486542-5/S0033-569X-1997-1486542-5.pdf

Reference4 articles.

1. Uniqueness of steady-state solutions for an electrochemistry model with multiple species;Choi, Y. S.;J. Differential Equations,1994

2. Global stability of solutions of an electrochemistry model with multiple species;Choi, Y. S.;J. Differential Equations,1995

3. Multi-dimensional electrochemistry model;Choi, Y. S.;Arch. Rational Mech. Anal.,1995

4. Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Gilbarg, David,1983

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis of a High-Accuracy Numerical Method for Time-Fractional Integro-Differential Equations;Fractal and Fractional;2023-06-16

2. Solving nonlinear Fredholm integral equations with PQWs in complex plane;International Journal of Dynamical Systems and Differential Equations;2021

3. Boundary asymptotics for a non-neutral electrochemistry model with small Debye length;Zeitschrift für angewandte Mathematik und Physik;2018-03-16

4. Asymptotic analysis of charge conserving Poisson-Boltzmann equations with variable dielectric coefficients;Discrete and Continuous Dynamical Systems;2015-12

5. An improved method based on Haar wavelets for numerical solution of nonlinear integral and integro-differential equations of first and higher orders;Journal of Computational and Applied Mathematics;2014-04