2016 Fiscal Year Final Research Report
Applied analysis of equations of incompressible fluid motions
| Project/Area Number |
24244007
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
山田 道夫 京都大学, 数理解析研究所, 教授 (90166736)
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| Co-Investigator(Renkei-kenkyūsha) |
SHOJI Mayumi 日本女子大学, 理学部, 教授 (10090523)
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| Research Collaborator |
SAKAJO Takashi
NAGAYAM Masaharu
MIYAJI Tomoyuki
KIM Sun-Chul
Craik Alexander D. D.
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| Project Period (FY) |
2012-04-01 – 2017-03-31
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| Keywords | 数理流体力学 |
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| Outline of Final Research Achievements |
The Navier-Stokes equations, which are the master equations of the fluid motion, are considered. In the following four problems, I obtained significant results. [a] discovery of unimodal solutions, [b] study on well-posedness of various model equations for fluid motion,[c] numerical method for computing blow-up solutions, [d] numerical computation of water-waves.
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| Free Research Field |
数学
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