Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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 proved the asymptotic stability of the stationary solution to an Euler Poisson equation arising in the plasma physics under the Bohm sheath condition. We also obtained the convergence rate towards the stationary solution subject to the initial condition. In addition we made numerical experiments. Precisely, we confirmed numerically that the solution converges to the stationary solution as time tends to infinity. Here we compared several numerical schemes. In conclusion, we see that the roe scheme makes a best performance in stability of scheme and convergence speed.
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