| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
On the asymptotic behavior of the solution of the Navier-Stokes equations in the half space, we obtain the lower bound of the energy decay of the solution and its spectral concentration. Separating on tangential and vertical components of the initial data, we see that the lower frequency part of the tangential components much affects the lower bound of the energy decay.
We construct a strong solution in the weighted Hardy space and obtained the higher order asymptotic expansion under the moment condition on initial data.
Under the general flux condition on the boundary, we clarified the condition for the stability of large stationary solutions in a bounded domain.
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