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• W2406791935 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 two suspended oppositely charged chemical species with arbitrary valencies z_1 > 0 > z_2. We prove global existence and uniqueness of weak solutions in two space dimensions and three space dimensions. So far, most of the existence results have been proven for symmetric electrolyte solutions. These solutions consist of a neutral fluid and two suspended charged chemical species with symmetric valencies +/-z. As many electrolyte solutions in biological applications and hydrodynamical applications are not symmetric, the presented extension of the previous existence results is an important step." @default.
• W2406791935 created "2016-06-24" @default.
• W2406791935 creator A5008362573 @default.
• W2406791935 creator A5073728063 @default.
• W2406791935 date "2016-05-24" @default.
• W2406791935 modified "2023-09-27" @default.
• W2406791935 title "Global existence of weak solutions of a model for electrolyte solutions - Part 1: Two-component case" @default.
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