Study on the discontinuity and singularity in the kinetic theory of gases
| Project/Area Number |
23656068
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Engineering fundamentals
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| Research Institution | Kyoto University |
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Principal Investigator |
TAKATA Shigeru 京都大学, 大学院・工学研究科, 教授 (60271011)
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| Research Collaborator |
FUNAGANE Hitoshi 新日鐵住金(株), 技術開発本部
LIU Tai-ping Stanford University (USA), Department of Mathematics, Professor Emeritus (Institute of Mathematics, Academia Sinica (Taiwan), Professor)
CHEN I-kun Department of Applied Mathematics, ational Chiao Tung University (Taiwan), Assistant Professor
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
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| Keywords | ボルツマン方程式 / 対数特異性 / 速度分布関数 / 気体分子運動論 / 希薄気体 / 国際研究者交流 |
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| Research Abstract |
In the kinetic theory, the gas behavior is investigated through the velocity distribution of innumerable gas molecules. In the present study, we have clarified that the macroscopic quantities, such as density, temperature, flow velocity, varies indefinitely steeply near the surface of planar body in its normal direction; to be more precisely, the variation rate is logarithmic. We have also identified that the source of this divergence is the discontinuous jump of velocity distribution of gas molecules on the surface of planar body.
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Report
(3 results)
Research Products
(8 results)
