Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction

Sheng Chen Fu; Je Chiang Tsai

doi:10.3934/dcds.2013.33.4041

Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction

Sheng Chen Fu^*
, Je Chiang Tsai

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

2 引文斯高帕斯（Scopus）

摘要

We consider the reaction-diffusion system ut = δu_xx - 2uv/(β+u), vt = vxx +uv /(β+u), which is used to model the acidic nitrate-ferroin reaction. Here β is a positive constant, u and v represent the concentrations of the ferroin and acidic nitrate respectively, and δ denotes the ratio of the diffusion rates. The existence of travelling waves for this system is known. Using energy functionals, we provide a stability analysis of travelling waves.

原文	英語
頁（從 - 到）	4041-4069
頁數	29
期刊	Discrete and Continuous Dynamical Systems- Series A
卷	33
發行號	9
DOIs	https://doi.org/10.3934/dcds.2013.33.4041
出版狀態	已發佈 - 2013 9月
對外發佈	是

ASJC Scopus subject areas

分析
離散數學和組合
應用數學

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10.3934/dcds.2013.33.4041

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abstract = "We consider the reaction-diffusion system ut = δuxx - 2uv/(β+u), vt = vxx +uv /(β+u), which is used to model the acidic nitrate-ferroin reaction. Here β is a positive constant, u and v represent the concentrations of the ferroin and acidic nitrate respectively, and δ denotes the ratio of the diffusion rates. The existence of travelling waves for this system is known. Using energy functionals, we provide a stability analysis of travelling waves.",

keywords = "Acidic nitrateferroin reaction, Reaction-diffusion system, Stability, Travelling wave",

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N2 - We consider the reaction-diffusion system ut = δuxx - 2uv/(β+u), vt = vxx +uv /(β+u), which is used to model the acidic nitrate-ferroin reaction. Here β is a positive constant, u and v represent the concentrations of the ferroin and acidic nitrate respectively, and δ denotes the ratio of the diffusion rates. The existence of travelling waves for this system is known. Using energy functionals, we provide a stability analysis of travelling waves.

AB - We consider the reaction-diffusion system ut = δuxx - 2uv/(β+u), vt = vxx +uv /(β+u), which is used to model the acidic nitrate-ferroin reaction. Here β is a positive constant, u and v represent the concentrations of the ferroin and acidic nitrate respectively, and δ denotes the ratio of the diffusion rates. The existence of travelling waves for this system is known. Using energy functionals, we provide a stability analysis of travelling waves.

KW - Acidic nitrateferroin reaction

KW - Reaction-diffusion system

KW - Stability

KW - Travelling wave

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JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 9

ER -

Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction

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