| Project/Area Number |
21540185
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Yamaguchi University |
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Principal Investigator |
OKADA Mari 山口大学, 大学院・理工学研究科, 准教授 (40201389)
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| Co-Investigator(Kenkyū-buntansha) |
MATSUNO Yoshimasa 山口大学, 大学院・理工学研究科, 教授 (30190490)
MAKINO Tetu 山口大学, 大学院・理工学研究科, 教授 (00131376)
YANAGI Kenjiro 山口大学, 大学院・理工学研究科, 教授 (90108267)
笠井 伸一 山口大学, 教育学部, 准教授 (40224373)
柳原 宏 山口大学, 大学院・理工学研究科, 准教授 (30200538)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 自由境界問題 / 圧縮性粘性気体 / 空間2次元 / 極座標 / アプリオリ評価 / 時間大域解 / 漸近挙動 / 真空 |
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| Research Abstract |
We study a free boundary problem for compressible spherically symmetric Navier-Stokes equations or Navier-Stokes-Poisson equation with degenerate viscosity coefficients and with or without a solid core. The two papers said that under certain assumptions on the initial data, the global existence and uniqueness of the weak solution are obtained and that solution has some uniform bounds.
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