Multifaceted analysis for stable structures of free-boundaries governed by nonlinear variational inequalities
| Project/Area Number |
24740099
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Global analysis
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| Research Institution | Chiba University |
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Principal Investigator |
Shirakawa Ken 千葉大学, 教育学部, 准教授 (50349809)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 自由境界 / 非線形変分不等式 / 安定構造 / 多角的観点からの考察 / 力学系の観点 / 近似の観点 / 結晶粒界 / 統一的な解法 / 自由境界の構造解析 / 非等方的数学モデル / リアルな現象再現 / 仮似変分不等式 / 幾何学的滑らかさ / 緩和モデル / 力学的境界条件 / 結晶粒界の数学モデル / 放物型連立変分不等式 / 改良型モデル / Allen-Cahn 方程式 / 統一的な解析法 / 結晶構造の回転効果 / 定常解の構造 / 一般多次元モデル / 放物型変分不等式 / 特異拡散方程式 / 解の存在定理 / 時間離散化法 / 数値計算 / 薄膜磁性体 / 結晶粒界現象 / 幾何学的構造 / 安定性 / 変分不等式 / 劣微分作用素方程式 |
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| Outline of Final Research Achievements |
The objective of the study is to observe the stable structures of free-boundaries from multifaceted viewpoints. The main advances are in the study of grain boundaries, and an original method which enables the uniform treatment of a number of mathematical models is established. In addition, some new research initiatives are obtained through the derivations of improved models which are coupled with heat exchanges, anisotropies, dynamic boundary conditions, and so on.
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Report
(5 results)
Research Products
(67 results)
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[Presentation] 結晶粒界の異方性を考慮した数学モデル2015
Author(s)
白川 健, 渡邉 紘, J. S. Moll
Organizer
第5 回非線形数理科学
Place of Presentation
ながおか市民センター2F 2B 会議室（新潟）
Year and Date
2015-02-21 – 2015-02-22
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