2016 Fiscal Year Final Research Report
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
|
| Keywords | 平均曲率流方程式 / 等高面法 / 特異拡散方程式 / 粘性解 |
|---|
| 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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| Free Research Field |
非線形偏微分方程式論
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