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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/62619完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊全(Chiun-Chuan Chen) | |
| dc.contributor.author | Yu-Chuan Chuang | en |
| dc.contributor.author | 莊又全 | zh_TW |
| dc.date.accessioned | 2021-06-16T16:05:46Z | - |
| dc.date.available | 2013-07-03 | |
| dc.date.copyright | 2013-07-03 | |
| dc.date.issued | 2013 | |
| dc.date.submitted | 2013-06-19 | |
| dc.identifier.citation | 1.Morse, P. M. and Feshbach, H. 1953 Methods of Theoretical Physics, Vol. 1. McGraw-Hill, New York.
2.Benjamin, T. B. 1972 The stability of solitary waves. Proc. Roy. Soc. Lond. A 328, 153-183. 3.Bona, J. L. 1975 On the stability theory of solitary waves. Proc. Roy. Soc. Lond. A 344, 363-374. 4.Weinstein, M. I. 1986 On the solitary traveling wave of the generalized Korteweg-de Vries equation. Amer. Math. Soc.,Lectures in Appl. Math. 23. 5.Bona, J. L., Souganidis, P. E. and Strauss,W.A 1987 Stability and instability of solitary waves of Korteweg-de Vries type. Proc. Roy. Soc. Lond. A 411, 395-412. 6.Albert, J. P., Bona, J. L. and Henry, D. B. 1987 Sufficient conditions for stability of solitary-wave solutions of model equations for long waves. Phys. D 24, 343-366. 7.Grillakis, M., Shatah, J. and Strauss, W. 1987 Stability theory of solitary waves in the presence of symmetry I. J. Funct. Anal. 74, 160-197. 8.Kenig, G. E., Ponce, G. and Vega, L. 1991 Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation. J. Amer. Math. Soc. 4, 323-347. 9.Kenig, G. E., Ponce, G. and Vega, L. 1993 Well-posedness and scattering results for the generalized Korteweg-de Vries equation via the contraction principle. Comm. Pure Appl. Math. 46, 527-620. 10.Pego, R. L. and Weinstein, M. I. 1992 Eigenvalues and instabilities of solitary waves. Philos. Trans. Roy. Soc. Lond. A 340, 4794. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/62619 | - |
| dc.description.abstract | 本篇論文中我們探討gKdV方程式孤波解穩定性及不穩定性的分析方法，綜合[5][6]的結果，點出其中證明的重點，並修正其中的錯誤，最後討論帶有兩個非線性項的這類問題。 | zh_TW |
| dc.description.abstract | In this paper, we discuss the stabilities and instabilities of solitary wave solutions of generalized Korteweg-de Vries equation. Following [5][6], we point out the focus of proof and correct the error. Finally, we consider these problems with two nonlinear terms. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-16T16:05:46Z (GMT). No. of bitstreams: 1 ntu-102-R00221009-1.pdf: 398450 bytes, checksum: adfcfb0a29b775718f21e7c7d66d0cf2 (MD5) Previous issue date: 2013 | en |
| dc.description.tableofcontents | 誌謝……………………………………………………………………………… ii
中文摘要……………………………………………………………………… iii 英文摘要…………………………………………………………………… iv 1. Introduction………………………………………………… 1 2. Stability of solitary waves…………… 3 3. Instability of solitary waves……… 13 4. Conclusion……………………………………………………… 24 References…………………………………………………………… 25 | |
| dc.language.iso | zh-TW | |
| dc.subject | 軌道穩定性 | zh_TW |
| dc.subject | 水波 | zh_TW |
| dc.subject | solitary wave | en |
| dc.subject | orbitally stable | en |
| dc.subject | KdV | en |
| dc.title | 水波的軌道穩定性概論 | zh_TW |
| dc.title | A survey on orbital stabilities of water waves | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 101-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王振男(Jenn-Nan Wang),林太家(Tai-Chia Lin) | |
| dc.subject.keyword | 水波,軌道穩定性, | zh_TW |
| dc.subject.keyword | solitary wave,orbitally stable,KdV, | en |
| dc.relation.page | 25 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2013-06-20 | |
| 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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