Quasineutral limit of the electro-diffusion model arising in Electrohydrodynamics

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dc.creatorLi, Fucai
dc.date2009-05-18
dc.date.accessioned2026-07-07T13:16:02Z
dc.date.available2026-07-07T13:16:02Z
dc.descriptionThe 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 energy analysis and the key point is to establish the uniform estimates with respect to the scaled Debye length.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0905.2893
dc.identifierhttp://arxiv.org/abs/0905.2893
dc.identifierJournal of Differential Equations, 246(2009) 3620-3641
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230663
dc.subjectAnalysis of PDEs
dc.subject35B25;35B40;35Q30;76W05
dc.titleQuasineutral limit of the electro-diffusion model arising in Electrohydrodynamics
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