2002 Fiscal Year Final Research Report Summary
Understanding of singularities arising in nonlinear nonequilibrium phenomena
| Project/Area Number |
11214101
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| Research Category |
Grant-in-Aid for Scientific Research on Priority Areas
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| Allocation Type | Single-year Grants |
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| Review Section |
Science and Engineering
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| Research Institution | HIROSHIMA UNIVERSITY |
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Principal Investigator |
MIMURA Masauasu Hiroshima University, Graduate School of Science, Professor, 大学院・理学研究部, 教授 (50068128)
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| Co-Investigator(Kenkyū-buntansha) |
MATSUSHITA Mitsugu Chuou University, Faculty of Science and Technology, Professor, 理工学部, 教授 (20091746)
NISHIURA Yasumasa Hokkaido University, Research Institute for Electronic Science, Professor, 電子科学研究所, 教授 (00131277)
KURAMOTO Yoshiki Kyoto University, Graduate School of Sciences, Professor, 大学院・理学研究科, 教授 (40037247)
MATANO Hiroshi University of Tokyo, Graduate School of Mathematical Sciences, Professor, 大学院・数理科学研究科, 教授 (40126165)
NISHIDA Takaaki Kyoto University, Graduate School of Sciences, Professor, 大学院・理学研究科, 教授 (70026110)
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| Project Period (FY) |
1999 – 2002
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| Keywords | Singular limit method / Multi-dimensional dissipative system / Transient dynamics / Pattern formation in biological systems / Singularities in flow / Computer aided analysis / Dynamical system / Free boundary problem |
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| Research Abstract |
Investigators of this project consist of the group leaders of the team projects : Nonlinear physics group (Kuramoto), Experimental and theoretical group of biological systems (Matsushita), Mathematical analysis group (Nishiura), Nonlinear waves group (Nishida), Fundamental mathematical analysis group (Matano). The results obtained by these groups are introduced in their research reports. Speaking in key-word way, these are
(1) Theoretical analysis of complex patterns in dissipative systems ; (2) Analysis of patterns in nonlinear nonequilibrium systems ; (3) Diversity of patterns in biological systems ; (4) Numerical aided analysis of singularities in flows ; (5) Reductive methods of infinite dimensional dynamical systems.
The activity of the project is not only to support these research groups, but also to publish "News letter" every 4 months and to organize the symposium (every year), international conferences, workshops and schools.
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