演講公告

演講主題：Steady-state Poisson-Nernst-Planck equations with charge non-neutrality constraint: one-dimensional and radial configurations
主講人：李俊璋教授(新竹教育大學應用數學系)
演講日期：2015年12月22日(星期二) 下午2:00 –3:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
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 found 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.
相關檔案：演講1041222.pdf

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