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題名 Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction
作者 符聖珍
Fu,Sheng-Chen
Tsai,Je-Chiang
貢獻者 應數系
關鍵詞 Stability; reaction-diffusion system; travelling wave; acidic nitrate-ferroin reaction
日期 2013.09
上傳時間 7-Aug-2014 11:34:34 (UTC+8)
摘要 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.
關聯 Discrete and Continuous Dynamical Systems - Series A,33(9),4041-4069
資料類型 article
DOI http://dx.doi.org/10.3934/dcds.2013.33.4041
dc.contributor 應數系en_US
dc.creator (作者) 符聖珍zh_TW
dc.creator (作者) Fu,Sheng-Chenen_US
dc.creator (作者) Tsai,Je-Chiangen_US
dc.date (日期) 2013.09en_US
dc.date.accessioned 7-Aug-2014 11:34:34 (UTC+8)-
dc.date.available 7-Aug-2014 11:34:34 (UTC+8)-
dc.date.issued (上傳時間) 7-Aug-2014 11:34:34 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/68413-
dc.description.abstract (摘要) 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.en_US
dc.format.extent 136 bytes-
dc.format.mimetype text/html-
dc.language.iso en_US-
dc.relation (關聯) Discrete and Continuous Dynamical Systems - Series A,33(9),4041-4069en_US
dc.subject (關鍵詞) Stability; reaction-diffusion system; travelling wave; acidic nitrate-ferroin reactionen_US
dc.title (題名) Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reactionen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.3934/dcds.2013.33.4041en_US
dc.doi.uri (DOI) http://dx.doi.org/10.3934/dcds.2013.33.4041en_US