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| 研究生： |
邱渼茹 Ciou, Mei-Ru. |
|---|---|
| 論文名稱： |
具有離子尺寸大小影響的帕松-能斯特-普朗克方程組的穩態解的漸近分析 Asymptotic analysis of the steady-state solution of a Poisson-Nernst-Planck system with steric effects |
| 指導教授： |
李俊璋
Lee, Chiun-Chang |
| 口試委員: |
劉育佑
Liu, Yu-Yu 陳啟銘 Chen, Chi-Ming. |
| 學位類別： |
碩士 Master |
| 系所名稱： |
南大校區系所調整院務中心 - 應用數學系所 應用數學系所(English) |
| 論文出版年： | 2018 |
| 畢業學年度： | 106 |
| 語文別： | 英文 |
| 論文頁數： | 19 |
| 中文關鍵詞： | 離子尺寸影響 、帕松-能斯特-普朗克方程組 |
| 外文關鍵詞： | steric effect, MPNP_n |
| 相關次數： | 點閱：2 下載：0 |
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這篇文章主要是在探討具有離子尺寸大小影響的帕松-能斯特-普朗克方程組的穩態解的漸近分析方程的漸近行為。更明確的說，我們研究當德拜長度趨近於零時，靜電位能以及離子濃度在內部和邊界的行為。其數學結果表明這個靜電位和濃度在區域內部會趨於零，而在邊界的斜率會無窮大，因此離子主要集中在邊界。
This article is mainly to explore the asymptotic behavior of the Poisson-Nernst-Planck system with steric effects. More specifically, we study the behavior of electrostatic potential energy and ion concentration at the inner and boundary when the Debye length approaches zero. The mathematical results show that this electrostatic potential and concentration tend to zero inside the region, and the slope at the boundary will be infinite, so the ions are mainly concentrated at the boundary.
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