Quasineutral Limit of the Electro-diffusion Model Arising in Electrohydrodynamics

Abstract

The electro-diffusion model, which arises in electrohydrodynamics, is a coupling between the Nernst-Planck-Poisson system and the incompressible Navier-Stokes equations. For the generally smooth doping profile, the quasineutral limit (zero-Debye-length limit) is justified rigorously in Sobolev norm uniformly in time. The proof is based on the elaborate… (More)

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Cite this paper

@inproceedings{Li2009QuasineutralLO, title={Quasineutral Limit of the Electro-diffusion Model Arising in Electrohydrodynamics}, author={Fucai Li}, year={2009} }