請用此 Handle URI 來引用此文件：
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/8650完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊全 | |
| dc.contributor.author | Yu-Sheng Chiou | en |
| dc.contributor.author | 裘愉生 | zh_TW |
| dc.date.accessioned | 2021-05-20T19:59:18Z | - |
| dc.date.available | 2012-06-28 | |
| dc.date.available | 2021-05-20T19:59:18Z | - |
| dc.date.copyright | 2010-06-28 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-06-21 | |
| dc.identifier.citation | Part I
[1] H. Berestycki, F. Hamel, Front propagation in periodic excitable media, Comm. Pure Appl. Math. 55 (2002), 949-1032. [2] H. Berestycki, F. Hamel, N. Nadirashvili, The speed of propagation for KPP type problems: I-Periodic framework, J. Eur. Math. Soc. 7 (2005), 173-213. [3] H. Berestycki, L. Nirenberg, Travelling fronts in cylinders, Ann. Inst. H. Poincar, Anal. Non Linaire 9 (1992), no. 5, 497-572. [4] M. Bages, P. Martines, Existence of pulsating waves of advection-reaction-diffusion equation of ignition type by a new method, Nonlinear Analysis (2009) [5] P. Lax, Functional analysis, John Wiley & Sons, Inc., New York, 2002. [6] J. Xin, Existence of planar flame fronts in convective-diffusive periodic media, Arch. Ration. Mech. Anal. 121 (1992) 205-233. Part II [1] J.D. Murray, Mathematical Biology. Springer-Verlag, Berlin, 1993. [2] Y. Kan-on, Parameter dependence of propagation speed of travelling waves for competition-diffusion equations. SIAM J. Math. Anal., 26, No.2 (1995), 340-363. [3] M. Rodrigo, M. Mimura, Exact solutions of a competition-diffusion system, Hiroshima Math. J., 30 (2000), 257-270. [4] M. Rodrigo, M. Mimura, Exact solutions of reaction-diffusion systems and nonlinear wave equations, Japan J. Indust. Appl. Math., 18 (2001), 657-696. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/8650 | - |
| dc.description.abstract | 本論文分成兩部份。
第一部份是關於反應擴散對流方程 的傳動波解。我們考慮具有週期性的對流場 、燃燒型態及半穩定的非線性反應項 。我們主要整理Berestycki和Hamel文章[1]中的脈衝波的存在性、唯一性及單調性結 果。第二部份主要是處理三種競爭物種Lotka-Volterra系統的確切傳動波解。 | zh_TW |
| dc.description.abstract | There are two parts in this paper. Part I is concerned with the travelling wave solutions for reaction-diffusion-advection equations . We consider periodic advection and combustion, monostable nonlinear reaction term . We mainly survey the results of existence, uniqueness, and monotonicity of pulsating waves from the paper by Berestycki and Hamel [1]. Part II deals with exact travelling wave solutions of competitive Lotka-Volterra systems of three species. | en |
| dc.description.provenance | Made available in DSpace on 2021-05-20T19:59:18Z (GMT). No. of bitstreams: 1 ntu-99-R96221030-1.pdf: 754524 bytes, checksum: c62bee85175cd546ea0541e5cd6401bf (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | I Pulsating Travelling Wave Solutions.........1
1 Introduction................................2 2 Proof of Theorem 1.2........................5 3 Proof of Theorem 1.3.......................19 II Semi-Exact Travelling Wave Solutions for systems of Three Competing Species......................28 4 Introduction...............................29 5 Semi-Exact Solutions.......................32 | |
| dc.language.iso | en | |
| dc.title | 反應擴散對流方程的傳動波解 | zh_TW |
| dc.title | Travelling Wave Solutions for Reaction-Diffusion-Advection Equations | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 林太家,夏俊雄 | |
| dc.subject.keyword | 脈衝波,反應擴散對流方程,燃燒,週期,確切解,Lotka-Volterra系統, | zh_TW |
| dc.subject.keyword | pulsating travelling wave,reaction-diffusion-advection equations,combustion,periodic,exact solutions,Lotka-Volterra systems, | en |
| dc.relation.page | 49 | |
| dc.rights.note | 同意授權(全球公開) | |
| dc.date.accepted | 2010-06-21 | |
| 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 | |
文件中的檔案：
| 檔案 | 大小 | 格式 | |
|---|---|---|---|
| ntu-99-1.pdf | 736.84 kB | Adobe PDF | 檢視/開啟 |
系統中的文件，除了特別指名其著作權條款之外，均受到著作權保護，並且保留所有的權利。