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arXiv · 1605.07445

Global existence of weak solutions of a model for electrolyte solutions - Part 2: Multicomponent case

Matthias Herz·Peter Knabner
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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.

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Matthias Herz, Peter Knabner. 2016-05-24. Global existence of weak solutions of a model for electrolyte solutions - Part 2: Multicomponent case. https://arxiv.org/abs/1605.07445

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