| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Research Abstract |
In this study, we studied analysis of weighted Lp space of Navier-Stokes equation, which is the basic equation of fluid dynamics. As a result, if the weight function belongs to the Muckenhoupt weight class, we are able to prove the weighted Lp-Lq estimates of Stokes semigroup in exterior domains, half-spaces and perturbed half spaces. Moreover we could also show the unique existence of the solution to the Navier-Stokes equations and its asymptotic behavior in weighted Lp framework.
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