| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
In this research some singular perturbation problems arising from the mathematical fluid mechanics are mathematically studied. In particular, the structure of the flow near the boundary, such as the boundary layer for the flow in the high Reynolds number, and its stability are rigorously analyzed. As the main results, this research has revealed the structure of the two-dimensional flow around the rapidly-rotating infinite cylinder, and has established the Prandtl boundary layer expansion around the monotone and concave boundary layer in a suitable functional setting. The asymptotic stability of the two-dimensional Oseen flow is also proved for the small Reynolds number.
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