| Budget Amount *help |
¥16,640,000 (Direct Cost: ¥12,800,000、Indirect Cost: ¥3,840,000)
Fiscal Year 2018: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2017: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2015: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
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| Outline of Final Research Achievements |
We consider the evolution problems of interfaces. Here, "interface" means that
separates more than two different states, such as surface of crystal. In this research project, we mainly discuss curvature dependent motions and obtain the following results: (1) Deformation process of (negative) crystals under the area preserving property. (2) Propose the mathematical model of growing spiral-shaped steps on the crystal surface and show the unique solvability and rotational behavior. (3) Extension of the framework of crystalline motion and discuss edge splitting phenomena. (4) Properties of singularities on the interface mathematically and numerically. (5) Propose structure-preserving numerical methods for area-preserving crystalline motion.
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