Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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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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