2010 Fiscal Year Final Research Report
Construction of reaction-diffusion systems suitable to track interfacial dynamics
Project/Area Number |
20540200
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Global analysis
|
Research Institution | University of Miyazaki |
Principal Investigator |
IIDA Masato University of Miyazaki, 工学部, 教授 (00242264)
|
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)
|
Co-Investigator(Renkei-kenkyūsha) |
NINOMIYA Hirokazu 明治大学, 理工学部, 准教授 (90251610)
|
Project Period (FY) |
2008 – 2010
|
Keywords | 反応拡散系 / 特異摂動 / 界面ダイナミクス |
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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Research Products
(30 results)