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Construction of reaction-diffusion systems suitable to track interfacial dynamics

Construction of reaction-diffusion systems suitable to track interfacial dynamics
构建适合跟踪界面动力学的反应扩散系统
批准号:
20540200
负责人:
IIDA Masato
金额:
$2.83万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2008
资助国家:
日本
项目状态:
已结题
起止时间:
2008 至 2010

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中文摘要
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英文摘要
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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Topics in mathematical modeling, Part 4(An area-preserving crystalline curvature flow equation)(eds : M.Benes, E.Feireisl)Vol.4, matfyzpress
数学建模主题,第 4 部分(保面积晶体曲率流方程)(编者:M.Benes、E.Feireisl)Vol.4,matfyzpress
DOI: --
发表时间: 2008
期刊:
影响因子: --
作者: [Y.Komori, M.Noumi, J.Shiraishi, S.Yazaki]
通讯作者: S.Yazaki
On the variational structure of the Gel'fand problem
关于Gelfand问题的变分结构
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [H. Awata, B. Feigin and J. Shiraishi, 山田澄生, 大塚浩史]
通讯作者: 大塚浩史
Various gradient flows in the plane-modeling, applications and polygonal analogues
平面建模、应用和多边形类似物中的各种梯度流
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [Ryuji Kajikiya, Yong-Hoon Lee and Inbo Sim, 矢崎成俊]
通讯作者: 矢崎成俊
DOI: --
发表时间: 2008
期刊:
影响因子: --
作者: [大塚浩史, リチャルディ トーニア, 大塚浩史, Hiroshi Ohtsuka, Hiroshi Ohtsuka, Hiroshi Ohtsuka, Hiroshi Ohtsuka]
通讯作者: Hiroshi Ohtsuka
24
    The search for the structure which can appear in singular limits of reaction-diffusion systems
    • 批准号:
      15540194
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.3万
    • 财政年份:
      2003
    • 负责人:
      IIDA Masato
    • 依托单位:
    Clinical Analysis of Oxidation Reduction Potential in Periodontal Pockets
    • 批准号:
      01571052
    • 项目类别:
      Grant-in-Aid for General Scientific Research (C)
    • 资助金额:
      $1.34万
    • 财政年份:
      1990
    • 负责人:
      IIDA Masato
    • 依托单位:
    海外基金