2011 Fiscal Year Final Research Report
Asymptotic analysis for systems of a hyperbolicparabolic type appeared in fluid dynamics
| Project/Area Number |
21740100
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Kyushu University |
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Principal Investigator |
NAKAMURA Tohru 九州大学, 大学院・数理学研究院, 助教 (90432898)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 解析学 / 偏微分方程式論 / 流体力学 / 圧縮性流体 / 漸近解析 / エネルギー法 / 粘性保存則 / 境界層解 |
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| Research Abstract |
In the present research, we consider an existence and an asymptotic stability of a boundary layer solution(stationary wave) for model systems of compressible and viscous gases. More precisely, we prove the existence and the asymptotic stability of boundary layer solution for an outflow and an inflow problems of heatconductive model. Moreover, we show the existence of boundary layer solution for model systems of symmetric hyperbolicparabolic type.
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