Mathematical analysis for interface dynamics of crystal
| Project/Area Number |
21740068
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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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 | Shibaura Institute of Technology |
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Principal Investigator |
ISHIWATA Tetsuya 芝浦工業大学, システム理工学部, 准教授 (50334917)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 界面ダイナミクス / 結晶界面 / 曲率流 / 解の挙動 / 進行波 / 非線形現象 / 数理モデル / 結晶成長 / 形状単調化 / 非平面進行波 / 応用数学 |
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| Research Abstract |
In this research, we consider some crystalline motions : a kind of interface motion of crystal. In particular, we mainly treat 2 types of crystalline motion : crystalline curvature flow with bulk effect and area-preserving crystalline curvature flow. We discuss the behavior of solution curves, not asymptotic behavior, and classify the extinction patterns of a line-segment of the interface completely and obtain the deformation process of solution curve under the conditions for no self-intersection of the interface.
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Report
(4 results)
Research Products
(31 results)
