Mathematical modeling for a nonlinear phenomena appearing engineering field and its analysis
| Project/Area Number |
20540205
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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 |
Global analysis
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| Research Institution | Gifu University |
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Principal Investigator |
AIKI Toyohiko 岐阜大学, 教育学部, 准教授 (90231745)
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| Co-Investigator(Kenkyū-buntansha) |
ISHIWATA Tetsuya 芝浦工業大学, システム理工学部, 准教授 (50334917)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 非線形現象 / 形状記憶合金 / コンクリートの中性化 / 自由境界問題 / 弱解の一意性 |
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| Research Abstract |
We consider the mathematical model for dynamics of a sensor made of shape memory alloys. We established the well-posedness of our model without the smallness condition for initial data even if the temperature filed is unknown.
Also, we study a one-dimensional free boundary problem as a mathematical model describing the concrete carbonation process. In this research we could guarantee the experimental law that the carbonation depth is proportionally to the square root of the time from mathematical modeling point of view.
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Report
(4 results)
Research Products
(85 results)
