| Project/Area Number |
24540119
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kanazawa University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
YAZAKI Shigetoshi 明治大学, 理工学部, 准教授 (00323874)
ISHIWATA Tetsuya 芝浦工業大学, システム工学部, 准教授 (50334917)
NAKAMURA Toshiko (OGIWARA Toshiko) 城西大学, 理学部, 准教授 (70316678)
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| Co-Investigator(Renkei-kenkyūsha) |
MATANO Hiroshi 東京大学, 大学院数理科学研究科, 教授 (40126165)
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| Research Collaborator |
MATSUOKA Hikaru
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Keywords | 界面ダイナミクス / 進行波 / 移動境界問題 / 順序保存力学系 |
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| Outline of Final Research Achievements |
In this research project, for understanding the mechanisms of complex spatio-temporal dynamics of interfaces in spatially non-periodic media or environments, we developed new mathematical methods including a general theory for the behavior of unbounded global orbits in a class of strongly monotone semiflows. Furthermore, for various problems on interfacial dynamics with variational structure such as mass conservation and energy dissipation, we proposed stable numerical schemes having the same characteristic properties as the original problems do.
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