2010 Fiscal Year Final Research Report
Construction of reaction-diffusion systems suitable to track interfacial dynamics
| Project/Area Number |
20540200
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | University of Miyazaki |
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Principal Investigator |
IIDA Masato University of Miyazaki, 工学部, 教授 (00242264)
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| Co-Investigator(Kenkyū-buntansha) |
TSUJIKAWA Tohru 宮崎大学, 工学部, 教授 (10258288)
OHTSUKA Hiroshi 宮崎大学, 工学部, 准教授 (20342470)
YAZAKI Shigetoshi 宮崎大学, 工学部, 准教授 (00323874)
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| Co-Investigator(Renkei-kenkyūsha) |
NINOMIYA Hirokazu 明治大学, 理工学部, 准教授 (90251610)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 反応拡散系 / 特異摂動 / 界面ダイナミクス |
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| Research Abstract |
Some free boundary problems describing the spatial segregation of competitive species can be regarded as certain singular limits of some reaction-diffusion systems. The mathematical grounds of this fact have been obtained. It is also shown that a mathematical model describing multi-phase invasion of cooperative species can be approximated by stacked fronts of several Fisher's waves which are mathematical models describing the single invasion of a species.
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