2013 Fiscal Year Final Research Report
Geometric measure theory and hyperbolic operators ant its numerical calculations
| Project/Area Number |
24654020
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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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 |
OMATA Seiro 金沢大学, 数物科学系, 教授 (20214223)
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| Co-Investigator(Kenkyū-buntansha) |
YAMAURA Yoshihiko 日本大学, 文理学部, 教授 (90255597)
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| Project Period (FY) |
2012-04-01 – 2014-03-31
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| Keywords | 双曲型自由境界問題 / 変分問題 / 数値解析 / 離散勾配流 |
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| Research Abstract |
In this research work, hyperbolic free boundary problems have been treated. The basic equation expresses a model for peeling off a tape from a plane. Based on this model, we established a new method analyzing bubble motion on water surface or small droplet motion with dynamic contact angle on obstacle. In the case of everal attached bubbles, we developed an efficient algorithm which can automatically deal with moving junctions including topological changes. On the ther hand, we have constructed a numerical solver for the problem of bouncing elastic shell via the discrete Morse flow method. Using this algorithm, we are able to incorporate inner structure and analyze the interaction
between the shell and its contents.
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