| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
This research project is aimed to achieve the understanding of mathematical structure of solutions to the Navier-Stokes equations for viscous inompressible flows, which are fundamental equations in fluid dynamics. This project has revealed various important structures of vorticity fields for the Navier-Stokes flows: the stability of boundary layer when the initial vorticty is located away from the boundary, the asymptotic behavior of solutions to the Navier-Stokes equations in two-dimensional exterior domains, the asymptotic stability of some stationary solutions to the exterior flows around a rotating disk, regularity criterion for the three-dimensional Navier-Stokes equations in the half space under the condition of voricity direction and type I blow-up, the vorticity boundary condition n the half plane and its applications.
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