2016 Fiscal Year Final Research Report
Three dimensional extension of Nakaya-Kobayashi diagram including snow crystals in Antarctica
| Project/Area Number |
26610031
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Mathematical analysis
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| Research Institution | Meiji University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | 界面現象 / 移動境界問題 / クリスタライン曲率流 / ヘレ・ショウ流れ |
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| Outline of Final Research Achievements |
We studied negative crystals, or vapor figures in the ice block, and their mathematical and numerical analysis were done. These results are mathematical justification of Dr. Ukichiro Nakaya's observation. We also considered the pioneering idea about geometric selection. These results are related to growth of snow crystals in wider sense. In addition, we studied Hele-Shaw flow, which contribute the future works.
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| Free Research Field |
応用数学
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