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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Format: | Others |
Language: | en_US |
Published: |
2010
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Online Access: | http://ndltd.ncl.edu.tw/handle/58061221519913587970 |
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.
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