| Project/Area Number |
23560070
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Hiroshima University |
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Principal Investigator |
ITO Masaaki 広島大学, 工学(系)研究科(研究院), 准教授 (10116535)
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| Co-Investigator(Kenkyū-buntansha) |
SHIBA Masakazu 広島大学, 大学院工学研究院, 名誉教授 (70025469)
KUBO Fujio 広島大学, 大学院工学研究院, 教授 (80112168)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 非線形方程式 / 離散方程式 / 超離散 / 保存量 / 数式処理 / 可積分 |
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| Outline of Final Research Achievements |
We found higher order conserved quantities for the Lyness max equation which is a ultradiscrete version of the Lyness equation. To clarify the structure of the conserved quantities of the Lyness max equation, we found several conserved quantities for the derivative Lyness equation. As a computer algebra and a numerical approach, we found an exact solution to Poiseuill flow whose velocity field is spherical paraboloid, and derived a Poiseuill flow in hyperbolic metric.
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