Geometric variational problems and its visualization
| Project/Area Number |
22540075
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Nagoya University |
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Principal Investigator |
NAITO Hisashi 名古屋大学, 多元数理科学研究科, 准教授 (40211411)
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| Project Period (FY) |
2010-10-20 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 幾何学 / 解析学 / 幾何学的変分問題 / 計算材料科学 / 変分問題 / 数値解析 / 結晶格子 / 幾何学的視覚化 |
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| Research Abstract |
I consider the existence of biharmonic map on M times R, which is reduced from a harmonic map on M by conformal change of metric on M. I prove that if dimension of M is 3 or 4, there exists a metric and such biharmonic map, but if dimension of M is greater than 5, there are no such biharmonic maps.
I also consider optimization problem of heat diffusion. I calculate the optimize shape of materials with two values of heat conductivity under the minimization/maximaization of the first eigenvalue of Laplacian. I also consider the LENGTH INDEX of single wall carbon nanotube.
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Report
(5 results)
Research Products
(16 results)
