2015/11/20 12:14 [學術]Steady-state Poisson-Nernst-Planck equations with charge non

輔 仁 大 學 數 學 系

學 術 演 講

演講人:李俊璋 教授(國立新竹教育大學應用數學系)

講 題:Steady-state Poisson-Nernst-Planck equations with charge non-neutrality constraint: one-dimensional and radial configurations

日 期:民國104年12月02日(星期三)

時 間:下午3:40~4:30

地 點:輔仁大學數學系MA307教室

茶 會:當日下午3:10於數學系會議室(MA318)

 

Abstract:

In order to investigate the behavior of the thin double layer (DL) in electrolyte solutions, we treat a Poisson-Nernst-Planck (PNP) equation as the basis and investigate the asymptotic behavior of the boundary layer of its steady-state solutions. Under the non-electroneutrality, we show that solutions approach the (pointwise) electroneutrality and have quite strong non-electroneutrality near the boundary. Such a result can be used to describe  the phenomenon in the experiment of the redox reaction. Moreover, we establish the exact first two order terms of the asymptotic expansion of solutions which provides a point of view to see the influence of ionic concentrations and charge valences on the DL. These results provide a basic understanding of the DL structure at the charged surface and on the behavior of the electrostatic potential in the bulk, both at a theoretical level and for practical applications.

 

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民國104年11月12日

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