Nonlinear evolution equations with constraint related to the free boundary problem on thermohydraulics model
| Project/Area Number |
21740130
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Kyoto University of Education |
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Principal Investigator |
FUKAO Takeshi 京都教育大学, 教育学部, 准教授 (00390469)
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| Project Period (FY) |
2008 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 発展方程式 / 熱水力学 / Navier-Stokes方程式 / 仮似変分不等式 / 制約問題 / Lagrange乗数 / 時間依存制約 / 非線形発展方程式 / 障害物問題 / ナヴィエ・ストークス方程式 |
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| Research Abstract |
The solvability and the characterization of a solution for non linear evolution equations with constraint are treated. The problem is related to the free boundary problem on thermohydraulics model. The solvability for a system between the variational inequality of Navier-Stokes type and the heat equation is proved.
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Report
(5 results)
Research Products
(48 results)
