Global existence of weak solutions of a model for electrolyte solutions - Part 2: Multicomponent case
Analysis of PDEs
2016-05-25 v1
Abstract
This paper analytically investigates the Darcy-Poisson-Nernst-Planck system. This system is a mathematical model for electrolyte solutions. In this paper, we consider electrolyte solutions, which consist of a neutral fluid and multiple suspended charged chemical species with arbitrary valencies. We prove global existence and uniqueness of weak solutions in two space dimensions.
Keywords
Cite
@article{arxiv.1605.07445,
title = {Global existence of weak solutions of a model for electrolyte solutions - Part 2: Multicomponent case},
author = {Matthias Herz and Peter Knabner},
journal= {arXiv preprint arXiv:1605.07445},
year = {2016}
}