| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
We constructed discrete models for some deformations of curves in plane and in space. In particular, from the viewpoint of integrable systems, an integrable discrete model of the local induction equation, which is known as a mathematical model of vortex filaments, is formulated to construct a family of characteristic exact solutions. From the viewpoint of non-integrable systems, a simple discrete model of the curve shortening flow is proposed.
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