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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳俊全(Chiun-Chuan Chen) | |
| dc.contributor.author | Wei-Hung Liao | en |
| dc.contributor.author | 廖偉宏 | zh_TW |
| dc.date.accessioned | 2021-06-17T00:22:00Z | - |
| dc.date.available | 2014-06-29 | |
| dc.date.copyright | 2012-06-29 | |
| dc.date.issued | 2012 | |
| dc.date.submitted | 2012-06-13 | |
| dc.identifier.citation | [1] H. Ninomiya, M. Taniguchi, Existence and global stability of traveling curved fronts
in the Allen-Cahn equations, J. Differential Equations. 213 (1)(2005), 204–233. [2] D.H. Sattinger, Monotone methods in nonlinear elliptic and parabolic boundary value problems, D. Van Nostrand, Princeton, 1968. [3] Paul C.Fife, Mathematical aspects of reacting and diffusing systems. Lecture Notes in Biomathematics. Springer-Verlag 28, Berlin New York.(1979) [4] M.H. Protter, H.F. Weinberger, Maximum Principles in Differential Equations. Springer, Berlin(1984) [5] G. Mariano, Introduction to regularity theory for nonlinear elliptic systems. Lectures in Mathematics ETH Zurich. Birkh¨auser Verlag, Basel(1993) [6] Charles Sutherland Elton, the ecology of invasions by animals and plants. University Of Chicago Press(2000) [7] Hodgki, A. L., Huxley, A. F., A quantitative description of membrane current and its application to conduction and excitation in nerve,J. Physiol.117(1952), 500–544. [8] Raymond Kapral,Kenneth Showalter, Chemical waves and patterns. Springer(1995) [9] V. P´erez-Mu˜nuzuri, M. G´omez-Gesteira, A. P. Mu˜nuzuri, V. A. Davydov and V. P´erez-Villar, V-shaped stable nonspiral patterns, Physical Review E.51(1995), 845– 847. [10] H. Ninomiya, M. Taniguchi, Traveling curved fronts of a mean curvature flow with constant driving force, Free boundary problems: Theory and applications I, GAKUTO Internat. Ser. Math. Sci. Appl. 13 (1)(2000), 206–221. [11] Kan-on,Yukio, Travelling waves for a Lotka-Volterra competition model with diffusion, Sugaku Expositions. Sugaku Expositions. 13 (1)(2000), 39–53. [12] Pavel K.Brazhnik Exact solutions for the kinematic model of autowaves in twodimensional excitable media, Physica D94(1996), 205–220. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66106 | - |
| dc.description.abstract | 這ㄧ篇論文主要是考慮二維空間中Lotka-Voterra系統中行進波的存在性以及穩定性的問題，利用supersolution和subsolution我們可以造出唯一的行進波，我們的supersolution可以取任意大其意涵著行進波全域上的漸近穩定性。 | zh_TW |
| dc.description.abstract | This paper is concerned with existence and stability of traveling curved fronts for the Lotka-Voterra system in the two-dimensional space. Using the supersolution and the subsolution, we construct a traveling wave, and show that it is the unique traveling wave solution. Our supersolution can be taken arbitrarily large, which implies global asymptotic stability for the traveling wave. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T00:22:00Z (GMT). No. of bitstreams: 1 ntu-101-R99221012-1.pdf: 2349516 bytes, checksum: ffe1c3cde002324b73523145f2018ba0 (MD5) Previous issue date: 2012 | en |
| dc.description.tableofcontents | Contents
1.Introduction . . . . . . . . . . . . . . . . . . . . .1 2 Main Result of[1] . . . . . . . . . . . . . . . . . . .3 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Existence and Stability . . . . . . . . . . . . . . . . . . . . . . . . 4 2.3 Construction of supersolution . . . . . . . . . . . . . . . . . . . . . . 4 3 Application to the two-species competition model. . . . . . . . . . . . . . . . . . . . . . . . . . 6 3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . 6 3.2 Supersolution . . . . . . . . . . . . . . . . . . . . . 11 3.3 Existence . . . . . . . . . . . . . . . . . . . . . . . 20 3.4 Stability . . . . . . . . . . . . . . . . . . . . . . . . 38 4 Appendix . . . . . . . . . . . . . . . . . . . . . . . .42 Bibliography. . . . . . . . . . . . . . . . . . . . . . . 45 | |
| dc.language.iso | en | |
| dc.subject | 雙物種 | zh_TW |
| dc.subject | 競爭系統 | zh_TW |
| dc.subject | 非平面波 | zh_TW |
| dc.subject | two-pecies | en |
| dc.subject | nonplanar | en |
| dc.subject | competition model | en |
| dc.title | 雙競爭物種的非平面波 | zh_TW |
| dc.title | Nonplanar Wave of Two-Species Competition Model | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 100-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 王振男(Jenn-Nan Wang),夏俊雄(Chun-Hsiung Hsia),林景隆(Ching-Lung Lin) | |
| dc.subject.keyword | 雙物種,競爭系統,非平面波, | zh_TW |
| dc.subject.keyword | two-pecies,competition model,nonplanar, | en |
| dc.relation.page | 46 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2012-06-14 | |
| 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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