| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We analyzed the drift- diffusion model for semiconductors over rectangle domains adopting the Dirichlet- Neumann mixed boundary condition. The stability of stationary solutions was proved for the situation that a direct current voltage is applied to semiconductors. Moreover, we showed the unique existence and the stability of the time-periodic solution if a alternating current voltage is applied.
We study the Euler-Poisson equations, which describes the motion of plasma, over a half space. It is shown that the generalized Bohm criterion give a sufficient condition for the existence and the stability of stationary solutions to the Euler-Poisson equations.
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