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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/42668完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊全 | |
| dc.contributor.author | Ryosuke Takahashi | en |
| dc.contributor.author | 楊劼之 | zh_TW |
| dc.date.accessioned | 2021-06-15T01:19:15Z | - |
| dc.date.available | 2009-07-28 | |
| dc.date.copyright | 2009-07-28 | |
| dc.date.issued | 2009 | |
| dc.date.submitted | 2009-07-27 | |
| dc.identifier.citation | 1. Joel Smoller.
Shock waves and reaction-diffusion equations, second edition, 1994, Springer-Verlag. 2. Aizik I. Volpert, Vitaly A. Volpert, Vladimir A. Volpert. Traveling wave solutions of parabolic systems, 1991. Translation of Mathematical Monographs Vol 140, AMS. 3. Marcello Lucia, Cyrill B. Muratov, Matteo Novaga. Linear vs. Nonlinear selection for the propagation speed of the solutions of scalar reaction-diffusion equations invading an unstable equilibrium. CPAM, vol 57, 2004. 4. Adam Chmaj, Xiaofeng Ren. Homoclinic solution of an intergral equaiton: existence and stability. J. diff. equation, vol 155, 1999. 5. Lawrence C Evans, Partial differential equaitons. Fourth edition, 1991, Springler-Verlag. 6. Jean Mawhin, Michel Willem. Critical point theory and Hamiltonian systems. Applied mathematical sciences 74, 1989, Springer-Verlag. 7. Michael Struwe, Variational method: applications to nonlinear partial differential equations and Hamiltonian systems. 1990, Springler-Verlag. 8. Marcello Lucia, Cyrill B. Muratov, Matteo Novaga. Existence of traveling waves of invasion for Ginzburg-Landau-type problems in infinite cylinders. Arch. Ration. Mech. Anal. 2008, no. 3, 475-508. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/42668 | - |
| dc.description.abstract | 在這篇論文中，我們發現雙穩反應擴散方程式的一個變分結構。透過探討這個結構的特性，並且經由找到一個特定的臨界點，可以證明行波解的存在性。而雙穩系統行波速度的唯一性也將透過這篇論文得到證明。 | zh_TW |
| dc.description.abstract | In this essay, we find a variational structure of the bistable equation. We will show the existence of traveling wave solution by finding a critical point. The uniqueness of the speed of the bistable system is also obtained in this essay. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T01:19:15Z (GMT). No. of bitstreams: 1 ntu-98-R97221037-1.pdf: 375138 bytes, checksum: cd87a26a679808a9b2b339050e86230e (MD5) Previous issue date: 2009 | en |
| dc.description.tableofcontents | Abstract 3
Introduction 4 Preliminaries 5 Traveling waves for bistable reaction-diffusion equation 6 Conclusional remark and future work 18 Appendix 18 | |
| dc.language.iso | en | |
| dc.title | 反應擴散方程式行波解的變分結構 | zh_TW |
| dc.title | A Variational Formula for Traveling Wave Solutions of Reaction-diffusion Equations | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 97-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王振男,夏俊雄 | |
| dc.subject.keyword | 變分,行波,反應擴散方程式,雙穩,平移, | zh_TW |
| dc.subject.keyword | variational,traveling wave,reaction-diffusion,bistable,translation, | en |
| dc.relation.page | 21 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2009-07-27 | |
| 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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