| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
In this project, we considered nonlinear partial differential equations with nonlocal property. We obtained some results on the regularity and the asymptotic behavior of the incompressible Navier-Stokes flows and the property of the fundamental solutions for certain fractional diffusion equations. Besides these results, we introduced some methods for the analysis of the nonlocal partial differential equations. We expect these methods can be applied for future research.
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