| Project/Area Number |
11440055
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| Research Category |
Grant-in-Aid for Scientific Research (B).
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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 | Osaka University |
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Principal Investigator |
SUJUKI Takoshi Graduate School of Science, Osaka Univ. professor, 大学院・理学研究科, 教授 (40114516)
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| Co-Investigator(Kenkyū-buntansha) |
NISHITANI Tatiuo Graduate School of Science, Osaka Univ. professor, 大学院・理学研究科, 教授 (80127117)
DATA Etsuro Graduate School of Science, Osaka Univ. professor, 大学院・理学研究科, 教授 (00107062)
KOTANI Shinichi Graduate School of Science, Osaka Univ. professor, 大学院・理学研究科, 教授 (10025463)
WADA Takeshi Graduate School of Science, Osaka Univ. Research Associate, 大学院・理学研究科, 助手 (70294139)
ATEUJI Atushi Graduate School of Science, Osaka Univ. Lecturer, 大学院・理学研究科, 講師 (00221044)
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| Project Period (FY) |
1999 – 2000
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| Keywords | chams taxis / free energy / blow-up / quantization / localization / collapse / Langevin equation / Fokker-Pharck equation |
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| Research Abstract |
We have extensive developments in analytic thoarees on the equations of magretoencaphalography and chamotaxis, For the system of sell-interacting particles we have made the relations clearer between the stochastic differential equation with the terms of friction and fluctuations, (that is, the Langerin equation) the Fokker-Planck equation under the treatment of statistical mechanics, (the is, the kinetic model) parabolic-elliptic system of chemolakis, semilinear elliptic boundary value problems with the exponential nonlinearity, and the system of gradiont flows. We have showed that those systems are to be indicated as the quantization of blow-up mechanism. In particular, we have proven analytically that the collapses are quantiged in the system of chemataxis.
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