相変化と界面運動の数理モデル
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概要
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Crystal growth is a typical pattern formation in nature. It is very interesting that the complicated shapes are formed in almost uniform circumstances like the formation snow flakes. In order to understand such phenomena, we must consider the inter facial motion accompanying the phase transition. Mathematical models and their simulations are introduced. The interface equation can express the motion caused by the thermodynamical driving force and surface tension. Also the effect of anisotropy is given to it. It will be shown that the model equations can describe the dendritic crystal growth realistically.
- 日本応用数理学会の論文
- 1991-12-16