数値解析・応用解析セミナー

1月21日(木)  15:30 -- 16:30  Chiun-Chang Lee (国立新竹教育大学、中華民国)
 ``Steady-state Poisson-Nernst-Planck equations with charge 
   non-neutrality constraint: one-dimensional and radial configurations''

＜研究発表要旨＞
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. 

セミナー室: 京都大学 工学部2号館 2階203号室
            （応用解析学講座セミナー室）

●工学部2号館はキャンパスマップでは「京都大学本部構内 54番建物」です。
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セミナー連絡先: 京都大学大学院 情報学研究科 複雑系科学専攻
                 磯 祐介    e-mail; iso@i.kyoto-u.ac.jp