Study on bunching phenomena of interface motion by combined dynamics
| Project/Area Number |
26400158
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Mathematical analysis
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| Research Institution | Gunma University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | 平均曲率流方程式 / 等高面法 / 特異拡散方程式 / 粘性解 / 異方的曲率流方程式 / 等高線法 / 最適化問題 / 渦巻曲線の運動 / クリスタライン曲率流方程式 / 結晶成長 / 定常解 / 安定性 |
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| Outline of Final Research Achievements |
Existence and stability or instability of discontinuous stationary solution to the level set equation of eikonal mean curvature flow is proved. For the crystalline motion of spirals, an ODE scheme by evolution equation of each facet length, and two minimizing movement approach for spirals evolving with crystalline eikonal-curvature flow are proposed.
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Report
(4 results)
Research Products
(21 results)
