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A system modeling the electrophoretic motion of a charged rigid macromoleculeimmersed in a incompressible ionized fluid is considered. The ionicconcentration is governing by the Nernst-Planck equation coupled with thePoisson equation for the electrostatic potential, Navier-Stokes and Newtonianequations for the fluid and the macromolecule dynamics, respectively. A localin time existence result for suitable weak solutions is established, followingthe approach of Desjardins and Esteban [Comm. Partial Diff. Eq., 25 (2000),1399--1414].

Existence theory for a Poisson-Nernst-Planck model of electrophoresis