| Budget Amount *help |
¥9,750,000 (Direct Cost: ¥7,500,000、Indirect Cost: ¥2,250,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2011: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2009: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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| Research Abstract |
It has been pointed out that dissipative weak solutions of the hydrodynamic equations plays an important role in understand the statistical theory of turbulence. But the existence of such a singular solution has not yet proven and its dynamical property is uncertain. In the present project, we successfully obtain a self-similar collapsing solution of α point vortex system. This is a dissipative weak solution of 2D Euler equation, which acquires one of the important properties observed in 2D turbulence.
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