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arXiv · 1102.5370

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

Luciano Bedin·Mark Thompson
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Abstract

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

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Luciano Bedin, Mark Thompson. 2011-02-25. Existence theory for a Poisson-Nernst-Planck model of electrophoresis. https://arxiv.org/abs/1102.5370

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