| Budget Amount *help |
¥11,830,000 (Direct Cost: ¥9,100,000、Indirect Cost: ¥2,730,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2012: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2011: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2010: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
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| Outline of Final Research Achievements |
We proved that a monotone stationary solution to the Euler-Poisson equations arising in Plasma physics is time asymptotically stable on mulch-dimensional half space. Moreover, we obtained the convergence rate, as time tends to infinity, subject to the initial condition. We gave the mathematical justification of the relaxation time limits in hydrodynamic models for semiconductor and made clear the hierarchy among several semiconductor model equations.For the general system of hyperbolic-parabolic coupled equations, we proved the existence and the time asymptotic stability of the stationary solution. We also obtained the convergence rate subject to the initial condition.
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