| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
This work is concerned with revealing and understanding the optimal initial condition for some nonlinear partial differential equations such as Navier-Stokes equations and Schrodinger equations. We studied the Navier-Stokes equations in the spaces of functions which have the bounded mean oscillation property, and also gave some initial condition for the equations with the Coriolis force. As to Schrodinger equations, we proved ill-posedness with quadratic non-linearity. It is also proved for the Burgers equation with the critical dissipation that small global solution tends to the Poisson kernel.
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