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。 ------------------------------------------------------------- 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