2013 Fiscal Year Final Research Report
Mathematical and physical study of moving boundary problems for the Boltzmann equation
| Project/Area Number |
23360048
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Kyoto University |
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Principal Investigator |
AOKI KAZUO 京都大学, 工学(系)研究科(研究院), 教授 (10115777)
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| Co-Investigator(Kenkyū-buntansha) |
KOSUGE Shingo 京都大学, 大学院工学研究科, 助教 (40335188)
NISHIBATA Shinya 東京工業大学, 大学院情報理工学研究科, 教授 (80279299)
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| Research Collaborator |
FILBET Francis リヨン第1大学(フランス), 教授
GOLSE Francois エコール・ポリテクニク(フランス), 教授
MARKOWICH Peter ケンブリッジ大学(イギリス), 教授
PULVIRENTI Mario ローマ第1大学(イタリア), 教授
VILLANI Cedric アンリ・ポアンカレ研究所(フランス), 所長
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| Project Period (FY) |
2011-04-01 – 2014-03-31
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| Keywords | ボルツマン方程式 / 移動境界問題 / クヌーセン層 / 希薄気体力学 |
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| Research Abstract |
The behavior of a gas in microscales and in low-pressure circumstances when the boundary is moving arbitrarily was investigated numerically on the basis of molecular gas dynamics. In particular, the singularities in the molecular velocity distribution function caused by the motion of the boundary were clarified, and a numerical method that is able to capture the singularities was constructed. The method was applied to various fundamental problems, such as the propagation of nonlinear acoustic waves and the decay of a pendulum in the gas.
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Research Products
(26 results)
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[Presentation] Some considerations on radiometric effects2011
Author(s)
K.Aoki
Organizer
Workshop : Novel Applications of Kinetic Theory and Computations, Institute for Computational and Experimental Research in Mathematics
Place of Presentation
Brown University, Providence, USA
Year and Date
20111017-21
Invited
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