Existence theory for a Poisson-Nernst-Planck model of electrophoresis
Analysis of PDEs
2014-02-20 v3 Mathematical Physics
math.MP
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].
Keywords
Cite
@article{arxiv.1102.5370,
title = {Existence theory for a Poisson-Nernst-Planck model of electrophoresis},
author = {Luciano Bedin and Mark Thompson},
journal= {arXiv preprint arXiv:1102.5370},
year = {2014}
}
Comments
This paper has been withdrawn by the authors due to several misprints. A corrected and full version was published in Comm. Pure Appl. Anal. 12(1), 157-206, (2013)