2011 Fiscal Year Final Research Report
Mathematical analysis of dendritic crystal growth
| Project/Area Number |
21654024
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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 |
Global analysis
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| Research Institution | Tohoku University |
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Principal Investigator |
TAKAGI Izumi 東北大学, 大学院・理学研究科, 教授 (40154744)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 針状結晶 / 側枝の形成 / Hele-Shaw流 / 粘性指 / 先端の分裂 |
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| Research Abstract |
A small disturbance in the overcooled liquid triggers the formation of paraboloidal interface growing into the bulk with constant speed, and side branches are formed, resulting in dendrites. To understand this phenomenon mathematically, we consider the existence of paraboloidal traveling wave solutions of the Stefan problemwith surface tension on the interface and their stability.
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