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Title: | 反應擴散對流方程的傳動波解 Travelling Wave Solutions for Reaction-Diffusion-Advection Equations |
Authors: | Yu-Sheng Chiou 裘愉生 |
Advisor: | 陳俊全 |
Keyword: | 脈衝波,反應擴散對流方程,燃燒,週期,確切解,Lotka-Volterra系統, pulsating travelling wave,reaction-diffusion-advection equations,combustion,periodic,exact solutions,Lotka-Volterra systems, |
Publication Year : | 2010 |
Degree: | 碩士 |
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。 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. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/8650 |
Fulltext Rights: | 同意授權(全球公開) |
Appears in Collections: | 數學系 |
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