| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
Suppose that there is an obstacle, which is a rigid body, in a viscous incompressible fluid. Toward analysis of body-fluid interaction, let us consider the Navier-Stokes flow in the exterior of the body when it is rotating with constant angular velocity. We first proved the existence and stability of the steady flow in 3D and derived the large time behavior of a unique global solution around that steady flow. The similar results were obtained for the time-periodic flow as well. We next deduced the decay structure and asymptotic profile of the steady flow at space infinity. The decay structure of the steady flow in 2D was also provided, so that we found the resolution of the Stokes paradox by the rotation of the body.
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