Asymptotic analysis on the Euler Poisson equation arising in plasma physics
| Project/Area Number |
23654062
|
|---|
| Research Category |
Grant-in-Aid for Challenging Exploratory Research
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Global analysis
|
|---|
| Research Institution | Tokyo Institute of Technology |
|---|
Principal Investigator |
SHINYA Nishibata 東京工業大学, 情報理工学(系)研究科, 教授 (80279299)
|
|---|
| Project Period (FY) |
2011-04-28 – 2015-03-31
|
| Project Status |
Completed (Fiscal Year 2014)
|
| 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)
|
|---|
| Keywords | オイラー方程式 / ポアソン方程式 / 双曲型保存則 / ボーム・シース条件 / 境界層 / 双曲型保存 |
|---|
| 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.
|
Report
(5 results)
Research Products
(24 results)
