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| ???org.dspace.app.webui.jsptag.ItemTag.dcfield??? | Value | Language |
|---|---|---|
| dc.contributor.advisor | 陳逸昆(I-Kun Chen) | |
| dc.contributor.author | Guo-Hau Luo | en |
| dc.contributor.author | 羅國豪 | zh_TW |
| dc.date.accessioned | 2022-11-24T03:36:02Z | - |
| dc.date.available | 2021-08-10 | |
| dc.date.available | 2022-11-24T03:36:02Z | - |
| dc.date.copyright | 2021-08-10 | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2021-08-03 | |
| dc.identifier.citation | [1] Wu,L., Guo, Y.:Geometric correction for diffusive expansion of steady neutron transport equation.Commun Math.Phys. 336:1473-1553(2015) [2] Li, Q., Lu, J., Sun, W.: Validity and regularization of classical half-space equa- tions. J. Stat. Phys. 166 398-433 (2017) [3] Guo, Y., Wu, L.: Geometric correction in diffusive limit of neutron transport equation in 2D convex domains (2016). [math.AP] arXiv:1605.02362 [4] Bensoussan, A., Lions, J.-L., Papanicolaou, G.C.: Boundary layers and homog- enization of transport processes. Publ. Res. Inst. Math. Sci. 15:53-157 (1979) | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/81204 | - |
| dc.description.abstract | 二維圓盤上的穩態中子遷移方程式基本上算是已經被解決的問題。根據 Bensoussan，Lions 和 Papanicolaou 的結果，在二維圓盤上，穩態中子遷移方程 式的解可以用一階領先內部解加上克努森層的擴散極限去估計。不過 Lei Wu 和 Yan Guo 卻聲稱此結果是錯誤的，並對此結果進行修正。然而根據 Lei Wu 和 Yan Guo 他們的論文，Qin Li ，Jianfeng Lu 和 Weiran Sun 證明了儘管原先的結果在 整個二維圓盤上不適用，此結果仍可套用在遠離邊界層的圓盤內部。本論文主要 為整理上述學者近期在處理此問題上所用到的一些重要手法。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-24T03:36:02Z (GMT). No. of bitstreams: 1 U0001-0208202110254300.pdf: 968763 bytes, checksum: 10cbe6f062b5dcd0aa9e4ac34e734beb (MD5) Previous issue date: 2021 | 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 第一章Introduction 1 第二章Asymptotic analysis 3 2.1 Interior expansion 3 2.2 Boundary layer expansion ( Milne expansion) 4 2.3 Failure of boundary layer expansion 6 2.4 Geometric correction on Milne expansion 9 第三章Theorems about CHS and problem 12 3.1 Finite slab problem 15 3.2 Infinite slab problem and estimate 25 3.3 estimate 34 3.4 Exponential decay and Maximum principle 44 第四章 Validity of Classical Half-Space Equations on 2D disk 53 參考文獻(Reference) 72 | |
| dc.language.iso | en | |
| dc.subject | 擴散極限 | zh_TW |
| dc.subject | 穩態中子遷移方程式 | zh_TW |
| dc.subject | 漸進分析 | zh_TW |
| dc.subject | 邊界層問題 | zh_TW |
| dc.subject | 漸進展開 | zh_TW |
| dc.subject | asymptotic analysis | en |
| dc.subject | steady neutron transport equation | en |
| dc.subject | diffusive limit | en |
| dc.subject | asymptotic expansion | en |
| dc.subject | boundary layer problem | en |
| dc.title | 一份關於穩態中子遷移方程式在二維圓盤上的調查 | zh_TW |
| dc.title | A survey of Steady Neutron Transport Equation on 2-dimensional Disk | en |
| dc.date.schoolyear | 109-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 夏俊雄(Hsin-Tsai Liu),郭鴻文(Chih-Yang Tseng) | |
| dc.subject.keyword | 穩態中子遷移方程式,漸進分析,邊界層問題,漸進展開,擴散極限, | zh_TW |
| dc.subject.keyword | steady neutron transport equation,asymptotic analysis,boundary layer problem,asymptotic expansion,diffusive limit, | en |
| dc.relation.page | 72 | |
| dc.identifier.doi | 10.6342/NTU202101984 | |
| dc.rights.note | 同意授權(限校園內公開) | |
| dc.date.accepted | 2021-08-04 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| Appears in Collections: | 數學系 | |
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| File | Size | Format | |
|---|---|---|---|
| U0001-0208202110254300.pdf Access limited in NTU ip range | 946.06 kB | Adobe PDF |
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