Travelling Wave Solutions for Reaction-Diffusion-Advection Equations

碩士 === 臺灣大學 === 數學研究所 === 98 === 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, uniq...

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Bibliographic Details
Main Authors: Yu-Sheng Chiou, 裘愉生
Other Authors: 陳俊全
Format: Others
Language:en_US
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/58061221519913587970
Description
Summary:碩士 === 臺灣大學 === 數學研究所 === 98 === 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.