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| Field |
Value |
| Title: | Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction |
| Authors: | 符聖珍
Fu,Sheng-Chen
Tsai,Je-Chiang |
| Contributors: | 應數系 |
| Keywords: | Stability; reaction-diffusion system; travelling wave; acidic nitrate-ferroin reaction |
| Date: | 2013.09 |
| Issue Date: | 2014-08-07 11:34:34 (UTC+8) |
| 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. |
| Relation: | Discrete and Continuous Dynamical Systems - Series A,33(9),4041-4069 |
| Data Type: | article |
| DOI: | http://dx.doi.org/10.3934/dcds.2013.33.4041 |
| DCField |
Value |
Language |
| dc.contributor (Contributor) | 應數系 | en_US |
| dc.creator (Authors) | 符聖珍 | zh_TW |
| dc.creator (Authors) | Fu,Sheng-Chen | en_US |
| dc.creator (Authors) | Tsai,Je-Chiang | en_US |
| dc.date (Date) | 2013.09 | en_US |
| dc.date.accessioned | 2014-08-07 11:34:34 (UTC+8) | - |
| dc.date.available | 2014-08-07 11:34:34 (UTC+8) | - |
| dc.date.issued (Issue Date) | 2014-08-07 11:34:34 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/68413 | - |
| dc.description.abstract (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. | en_US |
| dc.format.extent | 136 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.language.iso | en_US | - |
| dc.relation (Relation) | Discrete and Continuous Dynamical Systems - Series A,33(9),4041-4069 | en_US |
| dc.subject (Keywords) | Stability; reaction-diffusion system; travelling wave; acidic nitrate-ferroin reaction | en_US |
| dc.title (Title) | Stability of travelling waves of a reaction-diffusion system for the acidic nitrate-ferroin reaction | en_US |
| dc.type (Data Type) | article | en |
| dc.identifier.doi (DOI) | 10.3934/dcds.2013.33.4041 | en_US |
| dc.doi.uri | http://dx.doi.org/10.3934/dcds.2013.33.4041 | en_US |
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