請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48076完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 林太家(Tai-Chia Lin) | |
| dc.contributor.author | En-Lin Liu | en |
| dc.contributor.author | 劉恩臨 | zh_TW |
| dc.date.accessioned | 2021-06-15T06:45:42Z | - |
| dc.date.available | 2011-12-23 | |
| dc.date.copyright | 2011-07-07 | |
| dc.date.issued | 2011 | |
| dc.date.submitted | 2011-06-27 | |
| dc.identifier.citation | V. Barcilon, D. P. Chen, R. S. Eisenberg, J. W. Jerome 1997
Qualitative properties of steady-state Poisson-Nernst-Plank systems: perturbation and simulation study SIAM J. Appl. Math. 57 631-48 D. Gilbarg and N. S. Trudinger 2001 Elliptic Partial Differential Equations of Second Order (Classics in Mathematics) (Berlin:Springer) B. Hille 2001 Ion Channels of excitable Membranes} 3rd edn (Sunderland, MA:Sinauer Associates, Inc.) Y. Hyon, D. Y. Kwak, C. Liu, 2010 Energetic variational approach in complex fluids: maximum dissipation principle DCDS-A 26 129-304 J.P. Keener and J. Sneyd 1998 Mathematical Physiology (New York:Springer) C.C. Lee, H. Lee, Y. Hyon, T.C. Lin, C. Liu, New Poisson-Boltzmann type equations: one-dimensional solutions, Nonlinearity 24 (2011) 431-458. C.C. Lee, H. Lee, Y. Hyon, T.C. Lin, C. Liu, A New Poisson-Boltzmann Type of Equation for Multi-species Ions, in preparation. R. Ryham 2006 An energetic variational approach to mathematical modeling of charged fluids: charge phases, simulation and well posedness, Thesis Pennsylvania State University | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/48076 | - |
| dc.description.abstract | 新泊松-玻爾茲曼方程是作為細胞間離子通道的模型使用，可由最初的泊松-能斯特-普朗克方程式導出，和傳統的泊松-玻爾茲曼不同之處為加上了帶電粒子數守恆的考量。在本篇中我們考慮 n 維中的泊松-玻爾茲曼方程之徑向解附帶一微小介電參數ε2 在羅賓邊界條件下的特性，並研究此解在參數ε 驅近零時之近似行為。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2021-06-15T06:45:42Z (GMT). No. of bitstreams: 1 ntu-100-R98221006-1.pdf: 2878466 bytes, checksum: 01f805cb7aa042a75ee3bb5febdf6ab2 (MD5) Previous issue date: 2011 | en |
| dc.description.tableofcontents | 口試委員會審定書….………………………………………… i
誌謝…….………………………………………………………. ii 中文摘要………………………………….…………………… iii 英文摘要.………………………………………………………. iv Chapter 1 Introductio………………………………...….. 1 1.1 Main results……………………………………………..… 4 Chapter 2 Electroneutral Cases………………………….. 8 Chapter 3 Non- electroneutral Cases..…………………. 14 Chapter 4 Results in Rn……….…………………………... 24 References………………………………………………...…… 30 | |
| dc.language.iso | en | |
| dc.subject | 徑向解 | zh_TW |
| dc.subject | 離子通道 | zh_TW |
| dc.subject | 泊松-玻爾茲曼方程 | zh_TW |
| dc.subject | Poisson-Boltzmann equation | en |
| dc.subject | ion channel | en |
| dc.subject | radial solution | en |
| dc.title | 新泊松-玻爾茲曼型方程式之徑向解 | zh_TW |
| dc.title | Radial Solutions of New Poisson-Boltzmann Type Equations | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 99-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王振男(Jenn-Nan Wang),夏俊雄(Chun-Hsiung Hsia),陳俊全(Chiun-Chuan Chen) | |
| dc.subject.keyword | 泊松-玻爾茲曼方程,徑向解,離子通道, | zh_TW |
| dc.subject.keyword | Poisson-Boltzmann equation,radial solution,ion channel, | en |
| dc.relation.page | 30 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2011-06-27 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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|---|---|---|---|
| ntu-100-1.pdf 未授權公開取用 | 2.81 MB | Adobe PDF |
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