2011 Fiscal Year Final Research Report
Clarification of the mathematical structure of fluid-dynamical and electromagnetic phenomena depending on topological properties of the domain.
| Project/Area Number |
21540179
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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 |
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) |
2009 – 2011
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| Keywords | 関数方程式 |
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| Research Abstract |
Several phenomena of fluid or electromagnetism seem to have close relation to topological properties of the domain in which the phenomena occur. Here the topological properties of the domain mean, for example, the number of the inner boundary components and the genus of the outer boundary component of the domain. This research discusses new analytical methods based on the decomposition theorem of vector fields on the domain and the singular perturbation, aiming at clarifying the mathematical structure of such fluid-dynamical and electromagnetic phenomena depending on topological properties of the domain.
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