Developments of the mathematical research of the system of 2D point vortices
| Project/Area Number |
21654014
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Nagoya University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,270,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2009: ¥1,200,000 (Direct Cost: ¥1,200,000)
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| Keywords | 渦運動 / 乱流 / 渦衝突 / パンルベ方程式 / ソリトン方程式 / 定常配置問題 / エルミート多項式 |
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| Research Abstract |
The objective of the research project was to consider and develop the mathematical aspects of the point vortex system as a model for two dimensional vortex motions. As one of the characteristics of the model, we have studied the problem of vortex collapse, and extended the 2D self-similar collapse solution into one in three dimensions. We have also studied the statistical properties of stably stratified turbulence as a middle of 2D and 3D turbulence, and investigated the difference in the dimensionality.
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Report
(4 results)
Research Products
(29 results)
