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Applied mathematics of pattern formation in material sciences

Applied mathematics of pattern formation in material sciences
材料科学中模式形成的应用数学
批准号:
13554001
负责人:
OHTA Takao
金额:
$8.83万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (B)
财政年份:
2001
资助国家:
日本
项目状态:
已结题
起止时间:
2001 至 2003

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中文摘要
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英文摘要
We have carried out theoretical analysis and development of numerical method for studying various macroscopic and microscopic pattern formation in material sciences. In particular, we have investigated both numerically and analytically(1) structural transitions of mesophases in block copolymer melts(2) ordering dynamics of charged colloidal particles(3) dynamics of grain boundaries(4) domains dynamics of reactive phase separating systems and(5) formation of bacteria colony with chemotacsis.Some of these works have been performed in collaboration with experimentalists.Together with these studies, we have also developed fundamental theories of interface/grain boundary dynamics by means of singular perturbation and reduction method.
期刊论文(78)
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会议论文
M.Nonomura, K.Yamada, T.Ohta: "Formation and stability of double gyroid in microphase separated diblock copolymers"J.Phys.:Condens.Matter. 15. L423-L430 (2003)
M.Nonomura、K.Yamada、T.Ohta:“微相分离二嵌段共聚物中双螺旋体的形成和稳定性”J.Phys.:Condens.Matter。
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T.Ohta: "Theory of rubber-like elasticity in shape memory alloys"Material Science and Engenering A. 321・1-2. 57-65 (2001)
T.Ohta:“形状记忆合金的橡胶弹性理论”材料科学与工程A. 321・1-65(2001)。
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M.Nonomura: "Kinetics of Morphological Transitions between Mesophases"J.Physics : Condensed Matter. 13. 9089-9112 (2001)
M.Nonomura:“中间相之间形态转变的动力学”J.Physics:Condensed Matter。
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D.Hilhorst: "A competition-diffusion system approximation to the classical two-phase Stefan problem,"Japan J. Indsutrial and Appl. Mathematics. 18. 161-180 (2001)
D.Hilhorst:“近似于经典两相 Stefan 问题的竞争扩散系统”,Japan J. Indsutorial and Appl。
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34
    Nonlinear dynamics of self-propelled systems
    Kinetics of structural transitions in polymeric systems ・・・properties of gyroid structure・・・
    • 批准号:
      16340123
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $10.56万
    • 财政年份:
      2004
    • 负责人:
      OHTA Takao
    • 依托单位:
    Dynamical entropy control and macroscopic phase separation in strongly correlated soft materials
    • 批准号:
      13031062
    • 项目类别:
      Grant-in-Aid for Scientific Research on Priority Areas
    • 资助金额:
      $12.42万
    • 财政年份:
      2001
    • 负责人:
      OHTA Takao
    • 依托单位:
    海外基金