2014 Fiscal Year Final Research Report
The development of the unified analytical method to hydrodynamical and electromagnetic phenomena based on decomposition theorems
| Project/Area Number |
24540173
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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 | Nara Women's University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | 分解定理 / 境界値問題 / 流体力学 / 電磁気学 / MHD方程式 |
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| Outline of Final Research Achievements |
Applying our analytical method based on decomposition theorems to the stationary boundary value problems of MHD equations, we investigate the effectiveness or the subjects to be examined of our analytical method. In fact, we succeed in proving the existence of the weak solutions with inhomogeneous boundary data. In the process of the proof, we clarify some points which reflect the peculiar mathematical structures of MHD equations. We can also obtain some results suggesting that our analytical method based on decomposition theorems might be effective even in the stability analysis.
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| Free Research Field |
偏微分方程式論
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