| Project/Area Number |
24540156
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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 |
Basic analysis
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| Research Institution | Hirosaki University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
OKABE Takahiro 弘前大学, 教育学部, 講師 (00626872)
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| Co-Investigator(Renkei-kenkyūsha) |
TANI Atusi 慶応義塾大学, 名誉教授 (90118969)
TANAKA Naoto 福岡大学, 理学部, 教授 (00247222)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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)
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| Keywords | ナヴィエ・ストークス方程式 / ストークス方程式 / 角がある領域 / エネルギー減衰 / 流体数学 / ナビエ・ストークス方程式 / 非定常流 |
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| Outline of Final Research Achievements |
The free surface problem to the Navier-Stokes equations that the movement of the liquid in a glass or the waterdrop on the table become the concrete examples was studied. In a plain sector, the series solution of the linearized equation which converges uniformly was constructed. Thus, it is possible that the solutions are estimated precisely in the Hoelder space or the Sobolev-Slobodekii space.
Moreover, we consider the Navier-Stokes equations in the half-spaces and derived the lower bound of the rate of the energy decay of the flow. Especially, we succeeded to characterize the profile of the initial data which causes such a lower bound for the flow.
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