  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.
