| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
I analyzed a problem arising from fluid-structure interaction and some related issues, where the fluid is incompressible as well as viscous, while the structure is assumed to be a rigid body. In 3D case the boundary controllability of a self-propelled motion of a body, whose motion is prescribed but not too large, was proved. Toward analysis of this solution, I deduced a large time behavior of the evolution operator generated by a linearized system around time-dependent rigid motions. A new result on the starting problem in 3D proposed by Finn was also provided. In 2D case an asymptotic representation of steady flows at spatial infinity around a rotating body was discovered. I also deduced a temporal decay estimate of the Oseen semigroup past a translating body in 2D.
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