關鍵字查詢 | 類別:期刊論文 | | 關鍵字:Electrical potential in a cylindrical double layer

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序號 學年期 教師動態
1 96/1 數學系 曾琇瑱 教授 期刊論文 發佈 A continuation and existence result for a boundary value problem on an unbounded domain arising for the electrical potential in a cylindrical double layer , [96-1] :A continuation and existence result for a boundary value problem on an unbounded domain arising for the electrical potential in a cylindrical double layer期刊論文A continuation and existence result for a boundary value problem on an unbounded domain arising for the electrical potential in a cylindrical double layerAppell, Jurgen; Chen, Chur-jen; 曾琇瑱; Tseng, Shio-jenn; Martin, Vaeth淡江大學數學學系Poisson–Boltzmann equation;Electric potential distribution;Contraction mapping principle;Continuation theorem;Leray–Schauder alternative;Modified Bessel functions;Weighted function spaceElsevierJournal of Mathematical Analysis and Applications 332(2), pp.1134-1147Using a continuation theorem for contractions, the existence, uniqueness, and an approximation method for a class of nonlinear boundary value problems on an unbounded interval is obtained. The results apply in particular to the problem in the title.tku_id: 000069047;Made available in DSpace on 2010-01-27T23:18:04Z (GMT). No. of bitstreams:
2 92/2 數學系 曾琇瑱 教授 期刊論文 發佈 Electrical potential in a cylindrical double layer: a functional theory approach , [92-2] :Electrical potential in a cylindrical double layer: a functional theory approach期刊論文Electrical potential in a cylindrical double layer: a functional theory approach曾琇瑱; Tseng, Shio-jenn; Jiang, J. M.; Hsu, Jyh-ping淡江大學數學學系Electrical potential;Cylindrical surface;Poisson–Boltzmann equation;Functional theoryElsevierJournal of Colloid and Interface Science 273(1), pp.218-223Employing an iterative method in functional theory, the electrical potential distribution for the case of a cylindrical surface is solved. Although the analytical result derived is of an iterative nature, the second-order solution is found to be sufficiently accurate under conditions of practical significance. For the case of constant surface potential, the radius and the surface potential of a cylindrical surface can be estimated based on the extreme of the electrical potential distribution. The effects of the key parameters, including the number and the valence of the ions on a surface, the length of a particle, the
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